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# HW5 - ECE 402 Communications Engineering Homework 5(Fall...

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ECE 402: Communications Engineering Homework 5 (Fall 2009) Due: Tuesday 10/27 1. (a) Suppose that binary data are transmitted by unipolar signaling with the triangular pulse wave- forms: x 0 ( t ) = 0 , x 1 ( t ) = Λ( t/T ). Assuming that the data consist of i.i.d., equally likely binary digits, find the PSD and spectral efficiency of the modulated signal. Assume the pulse duration is T (i.e., the pulses overlap). (b) Repeat for polar signaling: x 0 ( t ) = - Λ( t/T ) , x 1 ( t ) = Λ( t/T ). 2. Suppose we want to send data at a rate of 16 Mbps over a cable of bandwidth 8 MHz using M -ary PAM baseband modulation with a rectangular pulse shape. If we take the null bandwidth of the signal power spectral density to be equal to the cable bandwidth, what value of M and what baud rate should we choose? Repeat the problem for a cable of bandwidth 4 MHz. 3. In 4-ary pulse position modulation (4PPM), two data bits are transmitted by sending one of the following four signals: 0 T 4 T 2 T 3 4 T 0 ( ) x t A 0 T 4 T 2 T 3 4 T 1 ( ) x t A 0 T 4 T 2 T 3 4 T 2 ( ) x t A 0 T 4 T 2 T 3 4 T 3 ( ) x t A

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HW5 - ECE 402 Communications Engineering Homework 5(Fall...

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