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Electrical Communications Systems ECE.09.331 Spring 2007

Electrical Communications Systems ECE.09.331 Spring 2007. A Guide to Signals & Transforms. Shreekanth Mandayam ECE Department Rowan University http://engineering.rowan.edu/~shreek/spring07/ecomms/. Time Amplitude Signal. 111 110 101 100 011 010 001 000.

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Electrical Communications Systems ECE.09.331 Spring 2007

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  1. Electrical Communications SystemsECE.09.331Spring 2007 A Guide to Signals & Transforms Shreekanth Mandayam ECE Department Rowan University http://engineering.rowan.edu/~shreek/spring07/ecomms/

  2. Time Amplitude Signal 111 110 101 100 011 010 001 000 continuous continuous continuous-time analog signal w(t) Amplitude sampling w(t) discrete continuous discrete-time analog signal w(nTs) indexing time discrete continuous discrete-time sequence w[n] Ts sampling discrete discrete discrete-time digital signal Cn n=0 1 2 3 4 5 All those signals……….

  3. C D C C D Discrete Fourier Transform W(k) Continuous Fourier Transform W(f) C Discrete-Time Fourier Transform W(W) C Laplace Transform W(s) z-Transform W(z) C Continuous-variable Discrete-variable D …..and all those transforms Sample in time, period = Ts Continuous-time analog signal w(t) Discrete-time analog sequence w [n] z = ejW s = jw w=2pf Sample in frequency, W = 2pn/N, N = Length of sequence • =2pf W = wTs, • scale • amplitude • by 1/Ts

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