Spectral analysis of chirp and sinusoidal signals in complex domain

摘要

This paper comprises of the comparative analysis of modulation schemes Amplitude and Frequency. Sinusoids and chirp signals are studied with their spectral energy in the sequency domain using Complex Hadamard transform by varying the size of data vector. A Conjugate Symmetric variant of Complex Hadamard transform has similar main lobes to Discrete Fourier transform in the frequency domain with number of side bands. Whereas, its sequency ordered complex Hadamard transform has some higher energy side lobes at the particular side with the shifted main bands in the spectra. Signal to noise ratio, the peak to average power ratio and energy spectral density are observed at the transmitter end. Two sided chirp has higher peak to average power in the experimental analysis. Distribution of spectral coefficients shows that maximum energy is presented in the main lobes in both sequency and frequency domains. Whereas the total energy spectral density of the various data sets is similar.