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Q1. A digital signal processing (DSP) system is developed to process an input signal that consists of an alternating current (AC) based on a sinusoidal equation. This signal should undergo a sampling process that follows the Nyquist Theorem before it can be converted into digital form. In accordance with this theory, generate discrete signals represented by the following mathematical equation: (a) a(t) = cos(2πt + 1) − 3 cos(16nt - 0.5) + 2cos (24nt + 1.2)

Q1. A digital signal processing (DSP) system is developed to process an input signal that consists of an alternating current (AC) based on a sinusoidal equation. This signal should undergo a sampling process that follows the Nyquist Theorem before it can be converted into digital form. In accordance with this theory, generate discrete signals represented by the following mathematical equation: (a) a(t) = cos(2πt + 1) − 3 cos(16nt - 0.5) + 2cos (24nt + 1.2)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Q2. In DSP, the unwanted digital signal frequency is filtered out using a digital filter. Based on z-equation in z-transform, the filter is able to allow or block certain frequencies to pass through the system. Calculate H(z) and W(z) that correspond to the discrete signals h(n) and w(n) in equation (1) and equation (2) and calculate the magnitude and phase spectrums of these filters. Then, analyse the output of the digital filters if the input digital signal is generated in question Q1(a). h(n) = {-0.0041, 0.0077,0.0893,0.2433, 0.3276, 0.2433,0.0893,0.0077,-0.0041) (1) w[n] = 3u[n +4] +2u[n] − 5u[n − 3] − 1.28[n] (2)
Transcribed Image Text:Q2. In DSP, the unwanted digital signal frequency is filtered out using a digital filter. Based on z-equation in z-transform, the filter is able to allow or block certain frequencies to pass through the system. Calculate H(z) and W(z) that correspond to the discrete signals h(n) and w(n) in equation (1) and equation (2) and calculate the magnitude and phase spectrums of these filters. Then, analyse the output of the digital filters if the input digital signal is generated in question Q1(a). h(n) = {-0.0041, 0.0077,0.0893,0.2433, 0.3276, 0.2433,0.0893,0.0077,-0.0041) (1) w[n] = 3u[n +4] +2u[n] − 5u[n − 3] − 1.28[n] (2)
Q1. A digital signal processing (DSP) system is developed to process an input signal that consists of an alternating current (AC) based on a sinusoidal equation. This signal should undergo a sampling process that follows the Nyquist Theorem before it can be converted into digital form. In accordance with this theory, generate discrete signals represented by the following mathematical equation: (a) a(t) = cos(2πt +1) - 3 cos (16nt - 0.5) + 2cos (24лt + 1.2)
Transcribed Image Text:Q1. A digital signal processing (DSP) system is developed to process an input signal that consists of an alternating current (AC) based on a sinusoidal equation. This signal should undergo a sampling process that follows the Nyquist Theorem before it can be converted into digital form. In accordance with this theory, generate discrete signals represented by the following mathematical equation: (a) a(t) = cos(2πt +1) - 3 cos (16nt - 0.5) + 2cos (24лt + 1.2)
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