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A) Two sequences: x[n] = n+1; 0≤n≤3 (-1, 0≤n≤ 4 5 ≤n≤6 h[n] (1, 1) Calculate the linear convolution x[n] * h[n]; 2) Calculate the circular convolution x[n] ✪ h[n]

A) Two sequences: x[n] = n+1; 0≤n≤3 (-1, 0≤n≤ 4 5 ≤n≤6 h[n] (1, 1) Calculate the linear convolution x[n] * h[n]; 2) Calculate the circular convolution x[n] ✪ h[n]

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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A) Two sequences: x[n] = n + 1; (-1, h[n] = {₁¹ = 0≤n≤3 0≤ n ≤ 4 5 ≤ n ≤ 6 1) Calculate the linear convolution x[n] * h[n]; 2) Calculate the circular convolution x[n] Ⓒh[n] B) With the knowledge of DFT values at even indices of a 7-point real sequence: X(0) = 4.8; X(2) = 3.1+j2.5; X(4) = 2.4+j4.2; X(6) = 5.2+j3.7; Find the DFT values at odd indices.
Transcribed Image Text:A) Two sequences: x[n] = n + 1; (-1, h[n] = {₁¹ = 0≤n≤3 0≤ n ≤ 4 5 ≤ n ≤ 6 1) Calculate the linear convolution x[n] * h[n]; 2) Calculate the circular convolution x[n] Ⓒh[n] B) With the knowledge of DFT values at even indices of a 7-point real sequence: X(0) = 4.8; X(2) = 3.1+j2.5; X(4) = 2.4+j4.2; X(6) = 5.2+j3.7; Find the DFT values at odd indices.
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A) Two sequences: x[n] = n + 1; −1, h[n] : = (1, 0≤n≤3 0≤ n ≤ 4 5≤n≤6 1) Calculate the linear convolution x[n] *h[n]; Calculate the circular convolution x[n] h[n] 2) B) With the knowledge of DFT values at even indices of a 7-point real sequence: X(0) = 4.8; X(2) = 3.1+j2.5; X(4) = 2.4+j4.2; X(6) = 5.2+j3.7; Find the DFT values at odd indices.
Transcribed Image Text:A) Two sequences: x[n] = n + 1; −1, h[n] : = (1, 0≤n≤3 0≤ n ≤ 4 5≤n≤6 1) Calculate the linear convolution x[n] *h[n]; Calculate the circular convolution x[n] h[n] 2) B) With the knowledge of DFT values at even indices of a 7-point real sequence: X(0) = 4.8; X(2) = 3.1+j2.5; X(4) = 2.4+j4.2; X(6) = 5.2+j3.7; Find the DFT values at odd indices.
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