24-12-2012, 12:48 PM
POWER SPECTRAL DENSITY
AIM :
Write a program in C and MATLAB to compute power spectral density of given sequence x(n). Verify the same on TMS320C6711 DSP kit.
COMPONENTS & TOOLS REQUIRED :
2.1 TMS 320C 6713 Kit,
2.2 Full version CCS s/w,
2.3 DSK 6713 s/w,
2.4 MATLAB s/w.
THEORY:
Spectrum is a Latin word for image. Auto correlation function(ACF) is a measure of similarity between a signal and time delayed version of the same signal. Cross correlation function(CCF) is a measure of similarity between a signal and time delayed version of the different signal. Frequency domain representation of a ACF of non-periodic signal is known as Energy Spectral Density(ESD). Frequency domain representation of a ACF of periodic signal is known as Power Spectral Density(PSD). For a non-periodic signals ESD & ACF forms Fourier transformable pairs. For a periodic signals PSD & ACF forms Fourier transformable pairs.