Basic Signals in Digital Signal Processing.pptx

signals

1. Basic Signals

2. Introduction to Sinusoids

3. Notice the periodic nature of the sine graph. It repeats every 2π and has smooth curves. Below are some of the properties of the sine function: Domain: -∞ < x < ∞ Range: -1 ≤ y ≤ 1 Period: 2π – the pattern of the graph repeats in intervals of 2π Amplitude: 1 – the sine graph is centered at the x-axis. The amplitude is the distance between the line around which the sine function is centered (referred to here as the midline) and one of its maxima or minima Zeros: πn – the sine graph has zeros at every integer multiple of π sin(-x) = -sin(x) – the graph of sine is odd, meaning that it is symmetric about the origin

4. 1. Write the equation for the given graph below:

5. 2. Write the equation for the given graph below: