8/17/2019 3+Signals+and+Systems
1/41
8/17/2019 3+Signals+and+Systems
2/41
http://civilsoftwaresnotes.blogspot.in/http://civilsoftwaresnotes.blogspot.in/http://civilsoftwaresnotes.blogspot.in/http://civilsoftwaresnotes.blogspot.in/http://civilsoftwaresnotes.blogspot.in/http://civilsoftwaresnotes.blogspot.in/http://civilsoftwaresnotes.blogspot.in/http://civilsoftwaresnotes.blogspot.in/http://civilsoftwaresnotes.blogspot.in/http://civilsoftwaresnotes.blogspot.in/http://civilsoftwaresnotes.blogspot.in/http://civilsoftwaresnotes.blogspot.in/http://civilsoftwaresnotes.blogspot.in/http://civilsoftwaresnotes.blogspot.in/http://civilsoftwaresnotes.blogspot.in/http://civilsoftwaresnotes.blogspot.in/http://civilsoftwaresnotes.blogspot.in/http://civilsoftwaresnotes.blogspot.in/http://civilsoftwaresnotes.blogspot.in/http://civilsoftwaresnotes.blogspot.in/
8/17/2019 3+Signals+and+Systems
3/41
8/17/2019 3+Signals+and+Systems
4/41
8/17/2019 3+Signals+and+Systems
5/41
8/17/2019 3+Signals+and+Systems
6/41
8/17/2019 3+Signals+and+Systems
7/41
8/17/2019 3+Signals+and+Systems
8/41
8/17/2019 3+Signals+and+Systems
9/41
8/17/2019 3+Signals+and+Systems
10/41
8/17/2019 3+Signals+and+Systems
11/41
8/17/2019 3+Signals+and+Systems
12/41
8/17/2019 3+Signals+and+Systems
13/41
8/17/2019 3+Signals+and+Systems
14/41
8/17/2019 3+Signals+and+Systems
15/41
8/17/2019 3+Signals+and+Systems
16/41
8/17/2019 3+Signals+and+Systems
17/41
8/17/2019 3+Signals+and+Systems
18/41
8/17/2019 3+Signals+and+Systems
19/41
8/17/2019 3+Signals+and+Systems
20/41
8/17/2019 3+Signals+and+Systems
21/41
8/17/2019 3+Signals+and+Systems
22/41
8/17/2019 3+Signals+and+Systems
23/41
8/17/2019 3+Signals+and+Systems
24/41
8/17/2019 3+Signals+and+Systems
25/41
8/17/2019 3+Signals+and+Systems
26/41
8/17/2019 3+Signals+and+Systems
27/41
8/17/2019 3+Signals+and+Systems
28/41
8/17/2019 3+Signals+and+Systems
29/41
8/17/2019 3+Signals+and+Systems
30/41
http://en.wikipedia.org/wiki/Nyquist_frequencyhttp://en.wikipedia.org/wiki/Hertzhttp://en.wikipedia.org/wiki/Sampling_frequencyhttp://en.wikipedia.org/wiki/Sampling_interval
8/17/2019 3+Signals+and+Systems
31/41
http://en.wikipedia.org/wiki/Low-pass_filterhttp://en.wikipedia.org/wiki/Low-pass_filterhttp://en.wikipedia.org/wiki/Anti-aliasinghttp://en.wikipedia.org/wiki/Aliasing
8/17/2019 3+Signals+and+Systems
32/41
http://en.wikipedia.org/wiki/Number#Integershttp://en.wikipedia.org/wiki/Samplinghttp://en.wikipedia.org/wiki/Discrete-time_signalhttp://en.wikipedia.org/wiki/Time-domainhttp://en.wikipedia.org/wiki/Frequency_domainhttp://en.wikipedia.org/wiki/Fourier_analysishttp://en.wikipedia.org/wiki/Mathematics
8/17/2019 3+Signals+and+Systems
33/41
http://en.wikipedia.org/wiki/Fourier_series#Complex_Fourier_coefficientshttp://en.wikipedia.org/wiki/Aliasinghttp://en.wikipedia.org/wiki/Discrete-time_Fourier_transform#math_Eq.1http://en.wikipedia.org/wiki/Discrete-time_Fourier_transform#math_Eq.2http://en.wikipedia.org/wiki/Discrete-time_Fourier_transform#equation_Eq.2http://en.wikipedia.org/wiki/Periodic_summationhttp://en.wikipedia.org/wiki/Poisson_summation_formulahttp://en.wikipedia.org/wiki/Continuous_Fourier_transform
8/17/2019 3+Signals+and+Systems
34/41
http://en.wikipedia.org/wiki/Correlationhttp://en.wikipedia.org/wiki/Complex_conjugatehttp://en.wikipedia.org/wiki/Convolutionhttp://en.wikipedia.org/wiki/Continuous_Fourier_transform
8/17/2019 3+Signals+and+Systems
35/41
http://en.wikipedia.org/wiki/Parseval%27s_theoremhttp://en.wikipedia.org/wiki/Parseval%27s_theorem
8/17/2019 3+Signals+and+Systems
36/41
8/17/2019 3+Signals+and+Systems
37/41
8/17/2019 3+Signals+and+Systems
38/41
8/17/2019 3+Signals+and+Systems
39/41
8/17/2019 3+Signals+and+Systems
40/41
8/17/2019 3+Signals+and+Systems
41/41