Convolution: 1D and 2D signal processing provides about consider the delta function; time-shift delta; sample the input; Fourier Coefficients; Euler’s identity; Sine-cos Rep; Harmonic Analysis; Convolution Thm; Spectrum reproduced. | Convolution 1D and 2D signal processing Consider the delta function Time-shift delta Sample the input (it’s a convolution!) What does sampling do to spectrum? What is the spectrum? Fourier Coefficients CTFT Euler’s identity Sine-cos Rep Harmonic Analysis Convolution=time-shift&multi Convolution Thm multiplication in the time domain = convolution in the frequency domain Sample Spectrum reproduced spectrum to be reproduced at . | Convolution 1D and 2D signal processing Consider the delta function Time-shift delta Sample the input (it’s a convolution!) What does sampling do to spectrum? What is the spectrum? Fourier Coefficients CTFT Euler’s identity Sine-cos Rep Harmonic Analysis Convolution=time-shift&multi Convolution Thm multiplication in the time domain = convolution in the frequency domain Sample Spectrum reproduced spectrum to be reproduced at intervals | Convolution 1D and 2D signal processing Consider the delta function Time-shift delta Sample the input (it’s a convolution!) What does sampling do to spectrum? What is the spectrum? Fourier Coefficients CTFT Euler’s identity Sine-cos Rep Harmonic Analysis Convolution=time-shift&multi Convolution Thm multiplication in the time domain = convolution in the frequency domain Sample Spectrum reproduced spectrum to be reproduced at . | Convolution 1D and 2D signal processing Consider the delta function Time-shift delta Sample the input (it’s a convolution!) What does sampling do to spectrum? What is the spectrum? Fourier Coefficients CTFT Euler’s identity Sine-cos Rep Harmonic Analysis Convolution=time-shift&multi Convolution Thm multiplication in the time domain = convolution in the frequency domain Sample Spectrum reproduced spectrum to be reproduced at intervals | Convolution 1D and 2D signal processing Consider the delta function Time-shift delta Sample the input (it’s a convolution!) What does sampling do to spectrum? What is the spectrum? Fourier Coefficients CTFT Euler’s identity Sine-cos Rep Harmonic Analysis Convolution=time-shift&multi Convolution Thm multiplication in the time domain = convolution in the frequency domain Sample Spectrum reproduced spectrum to be reproduced at intervals
