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lecture24

# lecture24 - EE 205 Coifman Let vs = k =-1 Vk cos(10 k ot k...

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EE 205 Coifman 24-1 Let v V t s k k o k k = + ( ) =− cos 10 1 3 ω φ Find v o (t) for the circuits on 23-4 through 23-7 of the lecture notes. 0.01* ω 0 0.1* ω ω 10* ω 100* ω 1000* ω |H(j ω )| H(j ω ) 0.01* ω 0 0.1* ω ω 10* ω 100* ω 1000* ω |H(j ω )| H(j ω ) 0.01* ω 0 0.1* ω ω 10* ω 100* ω 1000* ω |H(j ω )| H(j ω )

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n a m f i o C 5 0 2 E E 24-2 Homework #9, due 5/28/08 12-1, 12-2, 12-3, 12-4, 12-9, 12-10 and the following: Problem 1: Suppose we have a noisy signal, where the raw signal is v V t i I = cos500 and the noise can be modeled as v V t n N = cos50 10 6 . Use the circuit in slide 23-3 (repeated below) and input v v v s i n = + to "filter" the high frequency noise. Select R and C so as not attenuate v i below 70% of its original strength, while the noise should be dampened below 1%. What is the resulting output signal in the time domain? Problem 2: Using the circuit in slide 23-7 (repeated below), choose R, L and C to design a bandpass filter that selects 90.5 MHz. The band should be as tight as possible, subject to R k 1 Ω .
EE 205 Coifman 24-3 Magnitude response of RC low-pass filter 1 0.8 0.6

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