Chapter 6, Problem 36
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![An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (2)](https://i0.wp.com/www.numerade.com/static/ace-animation-pdp/video_6.d86d01139302.gif "An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (2)")
Question
Answered step-by-step
An IIR bandstop digital filter that satisfies the requirements:
$$
\begin{aligned}
0.95 & \leq\left|H\left(e^{j \omega}\right)\right| \leq 1.05, \quad 0 \leq|\omega| \leq 0.25 \pi \\
0 & \leq\left|H\left(e^{j \omega}\right)\right| \leq 0.01,0.35 \pi \leq|\omega| \leq 0.65 \pi \\
0.95 & \leq\left|H\left(e^{j \omega}\right)\right| \leq 1.05,0.75 \pi \leq|\omega| \leq \pi
\end{aligned}
$$
can be obtained using the following MATLAB script:
```
wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01;
[Rp,As] = delta2db(delta1,delta2);
[N, wn] = cheb2ord(wp, ws, Rp, As);
[b,a] = cheby2(N,As,wn,'stop');
```
The filter coefficients $b_k$ and $a_k$ are in the arrays $\mathrm{b}$ and $\mathrm{a}$, respectively, and can be considered to have infinite precision.
1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter.
2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function.
3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function.
Video Answer
![An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (3)](https://i0.wp.com/d1ras9cbx5uamo.cloudfront.net/eyJidWNrZXQiOiAiY29tLm51bWVyYWRlIiwgImtleSI6ICJpbnN0cnVjdG9ycy80MjBkYTgxY2YxNmY0MGY4ODhlYWI5Nzk0YmMxN2VkYy5qcGciLCAiZWRpdHMiOiB7InJlc2l6ZSI6IHsid2lkdGgiOiAyNTYsICJoZWlnaHQiOiAyNTZ9fX0= "An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (3)")
![An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (4)](https://i0.wp.com/d1ras9cbx5uamo.cloudfront.net/eyJidWNrZXQiOiAiY29tLm51bWVyYWRlIiwgImtleSI6ICJpbnN0cnVjdG9ycy84NmQ1ZTNhOWEyN2Y0Yzk3OTI5OTMzOGNlOGUzYjZlMi5qcGciLCAiZWRpdHMiOiB7InJlc2l6ZSI6IHsid2lkdGgiOiAyNTYsICJoZWlnaHQiOiAyNTZ9fX0= "An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (4)")
![An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (5)](https://i0.wp.com/d1ras9cbx5uamo.cloudfront.net/eyJidWNrZXQiOiAiY29tLm51bWVyYWRlIiwgImtleSI6ICJpbnN0cnVjdG9ycy9lNDI3MzNhOGE5ZmU0ODU4YTM0ZjE5ZjdlZmY3NmNhOS5qcGciLCAiZWRpdHMiOiB7InJlc2l6ZSI6IHsid2lkdGgiOiAyNTYsICJoZWlnaHQiOiAyNTZ9fX0= "An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (5)")
![An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (6)](https://i0.wp.com/www.numerade.com/static/logos/logo-full-royal-on-white.ac63bc8717eb.svg "An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (6)"){kind=logo}
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![An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (7)](https://i0.wp.com/www.numerade.com/static/icons/close-x.0ceebab0a1bd.svg "An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (7)"){kind=icon}
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An IIR bandstop digital filter that satisfies the requirements:$$\begin{aligned}0.95 & \leq\left|H\left(e^{j \omega}\right)\right| \leq 1.05, \quad 0 \leq|\omega| \leq 0.25 \pi \\0 & \leq\left|H\left(e^{j \omega}\right)\right| \leq 0.01,0.35 \pi \leq|\omega| \leq 0.65 \pi \\0.95 & \leq\left|H\left(e^{j \omega}\right)\right| \leq 1.05,0.75 \pi \leq|\omega| \leq \pi\end{aligned}$$can be obtained using the following MATLAB script:```wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01;[Rp,As] = delta2db(delta1,delta2);[N, wn] = cheb2ord(wp, ws, Rp, As);[b,a] = cheby2(N,As,wn,'stop');```The filter coefficients $b_k$ and $a_k$ are in the arrays $\mathrm{b}$ and $\mathrm{a}$, respectively, and can be considered to have infinite precision.1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter.2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function.3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function.
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Your personal AI tutor, companion, and study partner. Available 24/7. Ask unlimited questions and get video answers from our expert STEM educators. Millions of real past notes, study guides, and exams matched directly to your classes. ![An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (8)](https://i0.wp.com/www.numerade.com/static/newbookpage/Group_29.dade2cbbb916.svg "An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (8)")
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![An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (9)](https://i0.wp.com/www.numerade.com/static/newbookpage/Answers.7cde04c4d430.svg "An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (9)")
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![An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (10)](https://i0.wp.com/www.numerade.com/static/newbookpage/ntp-v2.17ba9743d61b.svg "An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (10)")
Ace Chat![An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (11)](https://i0.wp.com/www.numerade.com/static/newbookpage/ntp-v3.9ed6fbf06b85.svg "An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (11)")
Ask Our Educators![An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (12)](https://i0.wp.com/www.numerade.com/static/newbookpage/ntp-v4.6da2a3990184.svg "An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (12)")
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![An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (13)](https://i0.wp.com/www.numerade.com/static/loading.b2df72ce9ed3.gif "An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (13)")
![An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (14)](https://i0.wp.com/s3-us-west-1.amazonaws.com/com.numerade/books/5ff3685e-6f03-460e-94a0-1cddd3d4a248.jpg "An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (14)")
Digital Signal Processing Using Matlab: A Problem Solving Companion
Chapter 6
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Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Sections
Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40
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![An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (15)](https://i0.wp.com/www.numerade.com/static/comments/Student_Info.322cc5589342.svg "An IIR bandstop digital filter that satisfies the requirements: 0.95 ≤|H(e^j ω)| ≤1.05, 0 ≤|ω| ≤0.25 π 0 ≤|H(e^j ω)| ≤0.01,0.35 π≤|ω| ≤0.65 π 0.95 ≤|H(e^j ω)| ≤1.05,0.75 π≤|ω| ≤π can be obtained using the following MATLAB script: “` wp = [0.25,0.75]; ws = [0.35,0.65]; delta1 = 0.05; delta2 = 0.01; [Rp,As] = delta2db(delta1,delta2); [N, wn] = cheb2ord(wp, ws, Rp, As); [b,a] = cheby2(N,As,wn,'stop'); “` The filter coefficients bk and ak are in the arrays b and a, respectively, and can be considered to have infinite precision. 1. Using infinite precision, provide the log-magnitude response plot and the pole-zero plot of the designed filter. 2. Assuming direct-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. 3. Assuming cascade-form structure and a 12-bit representation for filter coefficients, provide the log-magnitude response plot and the pole-zero plot of the designed filter. Use the Qcoeff function. | Numerade (15)")
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