# HW8 - ECE 402 Communications Engineering Homework 8(Fall...

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ECE 402: Communications Engineering Homework 8 (Fall 2009) Due: Thursday 12/3 (at the *beginning* of class) 1. Consider a channel that occupies the frequency band 820-920 kHz. Suppose we want to transmit an MP3 audio ﬁle (200 kb/s) over this channel in real time using PSK bandpass signaling with a raised-cosine rolloﬀ characteristic ( r = 0 . 5). Find a PSK constellation, carrier frequency, and symbol rate that occupies the entire band. 2. Suppose data are transmitted over the baseband system below using 2PAM modulation with transmit pulse g ( t ) = sinc(2 t/T ) and receive ﬁlter H r ( f ) = cos( πfT/ 2), where f b = 1 /T is the symbol rate. ( ) a t ( 29 y t ˆ( ) a t ( 29 comb T t ( 29 x t Channel Modulator Rcv Filter Threshold ( ) G f ( ) c H f ( ) r H f ( 29 y nT ( ) ( ) ( ) ( ) c r P f G f H f H f = system pulse ( 29 z t (a) Suppose that the transmitted signal travels to the receiver by two paths, so that z ( t ) = x ( t + T/ 4) + x ( t - T/ 4) is received. Find the channel frequency response

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HW8 - ECE 402 Communications Engineering Homework 8(Fall...

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