Digital Signal Processing Class Assignment 1. The analog signal x(t)=2sin 480nt + 3sin 720 nt. Calculate: i. Minimum sampling rate to avoid aliasing. ii. If the signal is sampled at F. = 200 MHz what is the discrete signal after sampling i If the signal is sampled at F. = 75 Hz. What is the discrete signal after sampling.

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Digital Signal Processing
Class Assignment
1. The analog signal x(t)=2sin 480nt + 3sin 720 nt. Calculate:
i. Minimum sampling rate to avoid aliasing.
ii. If the signal is sampled at Fs = 200 MHz what is the discrete signal after sampling.
iii. If the signal is sampled at F, = 75 Hz. What is the discrete signal after sampling.
2. The input to a casual liner time invariant system is x[n] = u[-n-1] + (H uln)
The z-transform of the output of this system is Y(z) =
(1z")(1+ z')
i) Determine H(z) the z-transform of the system impulse response.
ii) What is the region of convergence for Y(z)?
iii) Determine y[n].
3. Consider a casual liner time-invariant system whose system function is
H(z) =
Draw the signal flow graphs for implementation of the system in following forms.
)Direct Form
ii) Direct Form II
ii) Transposed Direct Form II
4. Determine the values of power and energy of the following signals. Find whether the
signals are power or energy signal.
a) x[n] =
n20
b) x[n] = {(2
3"
n<0
DO
DD
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Transcribed Image Text:07:54 O (93 Edit Digital Signal Processing Class Assignment 1. The analog signal x(t)=2sin 480nt + 3sin 720 nt. Calculate: i. Minimum sampling rate to avoid aliasing. ii. If the signal is sampled at Fs = 200 MHz what is the discrete signal after sampling. iii. If the signal is sampled at F, = 75 Hz. What is the discrete signal after sampling. 2. The input to a casual liner time invariant system is x[n] = u[-n-1] + (H uln) The z-transform of the output of this system is Y(z) = (1z")(1+ z') i) Determine H(z) the z-transform of the system impulse response. ii) What is the region of convergence for Y(z)? iii) Determine y[n]. 3. Consider a casual liner time-invariant system whose system function is H(z) = Draw the signal flow graphs for implementation of the system in following forms. )Direct Form ii) Direct Form II ii) Transposed Direct Form II 4. Determine the values of power and energy of the following signals. Find whether the signals are power or energy signal. a) x[n] = n20 b) x[n] = {(2 3" n<0 DO DD Tools Mobile View Share Edit on PC School Tools
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