4. operations of signals
- 1. Operations of Signals By Md. Fazle Rabbi 16CSE057
- 2. 4.2 Introduction To Signal A Signal is the function of one or more independent variables that carries some information to represent a physical phenomenon A continuous-time signal, also called an analog signal, is defined along a continuum of time
- 3. 4.3 Operations of Signals 1. Time shifting 2. Time reversal 3. Time scaling 4. Signal addition 5. Signal multiplication
- 4. 4.4 Time Shifting x(t ± t0) is time shifted version of the signal x(t). x (t + t0) → negative shift x (t - t0) → positive shift
- 5. 4.5 Time Scaling x(At) is time scaled version of the signal x(t). where A is always positive. |A| > 1 → Compression of the signal |A| < 1 → Expansion of the signal
- 6. 4.6 Time Scaling Cont. Example: Given x(t) and we are to find y(t) = x(2t) The period of x(t) is 2 and the period of y(t) is 1,
- 7. 4.7 Time Reversal Time reversal is also called time folding In Time reversal signal is reversed with respect to time i.e. y(t) = x(-t) is obtained for the given function
- 8. 4.8 Signal Addition In discrete-time domain, the sum of two signals x1(n) and x2(n) can be obtained by adding the corresponding sample values . the subtraction of x2(n) from x1(n) can be obtained by subtracting each sample of x2(n) from the corresponding sample of x1(n) as illustrated below. If x1(n) = {1, 2, 3, 1, 5} and x2(n) = {2, 3, 4, 1, –2} Then x1(n) + x2(n) = {1 + 2, 2 + 3, 3 + 4, 1 + 1, 5 – 2} = {3, 5, 7, 2, 3} and x1(n) – x2(n) = {1 – 2, 2 – 3, 3 – 4, 1 – 1, 5 + 2} = {–1, –1, –1, 0, 7}
- 9. 4.9 Signal Multiplication The multiplication of two discrete-time sequences can be performed by multiplying their values at the sampling instants as shown below. If x1(n) = {1, –3, 2, 4, 1.5} and x2(n) = {2, –1, 3, 1.5, 2}
- 10. 4.10 Thank You