Fourier Transforms
Fourier Transforms:- Time domain and frequency domain representation of the signal, Fourier Transform and its properties, conditions for existence, Transform of Gate, unit step, constant, impulse, sine and cosine wave. Shifting property of delta function, convolution, time and frequency convolution theorems. Time domain and frequency domain representation of the signal An electrical signal either, a voltage signal or a current signal can be represented in two forms: Two types of representations follow: Time Domain representation -: In time domain representation a signal is a time-varying quantity as shown in Figure 1. Figure 1:- An arbitrary time domain signal Frequency Domain Representation : In the frequency domain, a signal is represented by its frequency spectrum as shown in Figure 2. Figure 2:- Frequency domain representation of time domain signal Fourier Transform and its properties Fourier Transform pair Fourier transform may be expressed as In the abo...