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write a Matlab program to show both sampling and reconstruction using a truncated Gaussian pulse signal
hwmadeeasywrite a Matlab program to show both sampling and reconstruction using a truncated Gaussian pulse signal
(more…)
4. Suppose that the frequency response of a filter is given by:a) Write the difference equation that relates the input a[n] to the output y[n].(b) What is the output if the input is x[n] = δ [n]?(c) If the input is of the form z[n] = Acos(ŵn + pi), for what values of w will the output y[n] be zero?
hwmadeeasy
4. Suppose that the frequency response of a filter is given by:
a) Write the difference equation that relates the input a[n] to the output y[n].
(b) What is the output if the input is x[n] = δ [n]?
(c) If the input is of the form z[n] = Acos(ŵn + pi), for what values of w will the output y[n] be zero?
![4. Suppose that the frequency response of a filter is given by:a) Write the difference equation that relates the input a[n] to the output y[n].(b) What is the output if the input is x[n] = δ [n]?(c) If the input is of the form z[n] = Acos(ŵn + pi), for what values of w will the output y[n] be zero?](https://i0.wp.com/electricalstudent.com/wp-content/uploads/2023/07/683fdff6-262d-47bf-ab73-a9f14369edb6-4844-00000752270151d6_file.jpg?resize=1024%2C402&ssl=1 "4. Suppose that the frequency response of a filter is given by:a) Write the difference equation that relates the input a[n] to the output y[n].(b) What is the output if the input is x[n] = δ [n]?(c) If the input is of the form z[n] = Acos(ŵn + pi), for what values of w will the output y[n] be zero?")
3. For the following frequency responses, determine the corresponding impulse response:
hwmadeeasy
3. For the following frequency responses, determine the corresponding impulse response:
a. H(w) = 1+2e-3w b. H(w) = 1+2e-3w cos(w)
(more…)2. Consider the system defined by the relation y[n] = x[n] +2x[n− 1] + x[n-2]
hwmadeeasy2. Consider the system defined by the relation y[n] = x[n] +2x[n− 1] + x[n-2]
(a) Obtain an expression for the frequency response of the system
(b) Graph the system frequency response (magnitude and phase) using the freqz command in MATLAB (attach code listing and output)
(c) Determine the output when the input is the signal x[n] = 10+4 cos(0.5πn+π/4)
(d) Determine the output with the input is the unit impulse function x[n] = δ [n].
(e) Determine the output with the input is the unit step function z[n] = u[n].
(more…)1. Suppose the signal x[n] = cos(0.4πn – 0.5π) is input to a filter with impulse response h[n] = δ [n] – δ [n-1]. Determine the filter output signal y[n].
hwmadeeasy![1. Suppose the signal x[n] = cos(0.4πn – 0.5π) is input to a filter with impulse response h[n] = δ [n] – δ [n-1]. Determine the filter output signal y[n].](https://electricalstudent.com/wp-content/uploads/2023/07/42a71282-3afd-4826-82d4-f40339b3a2d2-4844-0000074ee7fd8ce1_file-724x1024.jpg)
1. Suppose the signal x[n] = cos(0.4πn – 0.5π) is input to a filter with impulse response h[n] = δ [n] – δ [n-1]. Determine the filter output signal y[n].
(more…)![Find the convolution of the two sequences 𝑥[𝑛] = [2 1 — 2 3 — 4] and h[n]=[3 1 2 1 4]](https://electricalstudent.com/wp-content/uploads/2023/07/20ea49c5-663e-4cfd-b479-2f043fce85ec-4844-000006f16d904655_file-1024x122.jpg)
![Find the convolution of the two sequences 𝑥[𝑛] = [2 1 — 2 3 — 4] and h[n]=[3 1 2 1 4]](https://i0.wp.com/electricalstudent.com/wp-content/uploads/2023/07/20ea49c5-663e-4cfd-b479-2f043fce85ec-4844-000006f16d904655_file.jpg?resize=1024%2C122&ssl=1 "Find the convolution of the two sequences 𝑥[𝑛] = [2 1 — 2 3 — 4] and h[n]=[3 1 2 1 4]")
![Using the FSMA method, find the output 𝑦[𝑛] of the system described by theimpulse response given by ℎ[𝑛] = 𝛿[𝑛] — 𝛿[𝑛— 1] + 2𝛿[𝑛— 2] — 𝛿[𝑛— 3] +𝛿[𝑛-4] if the input is 𝑥[𝑛] = 𝑢[𝑛 + 1]](https://electricalstudent.com/wp-content/uploads/2023/07/3811bfb0-bd67-4784-9086-4933f5d5f5bc-4844-000006f0a7a24226_file-1024x158.jpg)
![Using the FSMA method, find the output 𝑦[𝑛] of the system described by theimpulse response given by ℎ[𝑛] = 𝛿[𝑛] — 𝛿[𝑛— 1] + 2𝛿[𝑛— 2] — 𝛿[𝑛— 3] +𝛿[𝑛-4] if the input is 𝑥[𝑛] = 𝑢[𝑛 + 1]](https://i0.wp.com/electricalstudent.com/wp-content/uploads/2023/07/3811bfb0-bd67-4784-9086-4933f5d5f5bc-4844-000006f0a7a24226_file.jpg?resize=1024%2C158&ssl=1 "Using the FSMA method, find the output 𝑦[𝑛] of the system described by theimpulse response given by ℎ[𝑛] = 𝛿[𝑛] — 𝛿[𝑛— 1] + 2𝛿[𝑛— 2] — 𝛿[𝑛— 3] +𝛿[𝑛-4] if the input is 𝑥[𝑛] = 𝑢[𝑛 + 1]")
![3. A system is described by the impulse response given by:h[n]=(3/4)^nu(n+2) compute the output of the system at times n=-5,n=5&n=10 when the input is x[n]=u[n+1]](https://electricalstudent.com/wp-content/uploads/2023/07/a3ec126f-912c-4ae2-a911-927fe03a78f3-4844-000006f007ecd726_file-1024x288.jpg)
![3. A system is described by the impulse response given by:h[n]=(3/4)^nu(n+2) compute the output of the system at times n=-5,n=5&n=10 when the input is x[n]=u[n+1]](https://i0.wp.com/electricalstudent.com/wp-content/uploads/2023/07/a3ec126f-912c-4ae2-a911-927fe03a78f3-4844-000006f007ecd726_file.jpg?resize=1024%2C288&ssl=1 "3. A system is described by the impulse response given by:h[n]=(3/4)^nu(n+2) compute the output of the system at times n=-5,n=5&n=10 when the input is x[n]=u[n+1]")