[SOLVED] CPE381 Homework4

1. Pr. 5.38 (textbook).
2.  An ideal low pass filter H(s) with zero phase and magnitude response:

ì1 -p£W£p

H( jW)=í

î 0 otherwise

1. Find the impulse response h(t) of the low-pass filter. Plot it and indicate whether this filter is causal system or not.
2. What is the effect of shifting the central frequency of the ideal filter for 5p ?

A 12-bit AD converter is used to digitize signal with negative reference V_R- = 0.5V and positive reference V_R+ = 2.5V.

1. (3 points) What is the quantization step?
2. (3 points) What is the output of the AD converter for V_in = 2.2 V ?
3. (2 points) What is the output of the AD converter for V_in = 0.35 V ?
4. (2 points) What is the output of the AD converter for V_in = 3.1 V ?

4.  Represent spectrum of the signal 𝑥(𝑡)=8𝑐𝑜𝑠(100𝑡).

Represent magnitude and phase spectrum of the same signal sampled at Fs = 150 rad/s. Describe the effect.