EL 6183 Week No 7 - Polytechnic University EL 6183 EE 4163...

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Unformatted text preview: Polytechnic University EL 6183 EE 4163 DSP lab Lab #7 Discrete Time Fourier Transform (DTFT) Discrete Fourier Tranform (DFT) Fast Fourier Transform (FFT) A) Objectives At the end of this lab, students will: • Understand the difference between Discrete Time Fourier Transform (DTFT) Discrete Fourier Transform (DFT) Fast Fourier Transform (FFT) • Implement DFT and FFT. 1 B) Lab Report For lab report #7, in addition to: • the traditional well formatted cover page, • the signed pages of this lab, • the conclusion, students are expected to: • include a screen capture of waveforms • insert their C/C++ source codes, • explain the choices made if any, • etc. C) Implementation of a Discrete Fourier Transform The N-point DFT of a signal x(n) is defined as: ∑- = =- = 1 2 ). ( ) ( N n n n N k j e n x k X π for k = 0, 1, …, N-1 2 or since ) 2 sin( ) 2 cos( . 2 n N k j n N k e n N k j π π π- =- ∑ ∑- = =- = =- = 1 1 ) 2 sin( ) ( ) 2 cos( ) ( ) ( N n n N n n n N k n x j n N...
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EL 6183 Week No 7 - Polytechnic University EL 6183 EE 4163...

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