3. The ideal low-pass filter shown in Figure 1 has a cut-off frequency of 100 Hz and a passband gain of 1 with 0 degree
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- 3 The Ideal Low Pass Filter Shown In Figure 1 Has A Cut Off Frequency Of 100 Hz And A Passband Gain Of 1 With 0 Degree 1 (48.32 KiB) Viewed 35 times
3. The ideal low-pass filter shown in Figure 1 has a cut-off frequency of 100 Hz and a passband gain of 1 with 0 degree phase response. input Ideal Low- pass Filter Figure 1 (a) Express the frequency response, H(a), of the ideal low-pass filter, in the form of a rectangular function of angular frequency w. output (b) Sketch the magnitude and phase responses of the ideal low-pass filter for the angular frequency range of [-4007, 400π] rad/sec. (c) Find the impulse response, h(t), of the ideal low-pass filter. W (d) Given that x(t) = 2 cos(100nt), and y(t) = x(t) * h(t), where **** denotes convolution, find the signal y(t) with justifications. 200 (e) If the phase response of the ideal low-pass filter in Figure 1 is not zero but rad within the passband, then, what would be the signal y(t) in ZH (w) = part (d)?