railway RRB JE (CBT I + CBT II) Mock Test 2024 Signals and Systems Discrete Fourier Transform (DFT) and Discrete Fourier Series (DFS)
निम्नलिखित अनुक्रम के लिए असतत फूरियर श्रेणी निरूपण है:
\(x\left( n \right) = \cos \frac{\pi }{4}n\)1
\(\frac{1}{2}{e^{j{{\rm{\Omega }}_0}n}} + \frac{1}{2}{e^{ - j{{\rm{\Omega }}_0}n}}\) और \({{\rm{\Omega }}_0} = \frac{\pi }{8}\)
2
\(\frac{1}{2}{e^{ - j{{\rm{\Omega }}_0}n}} + \frac{1}{2}{e^{ - j2{{\rm{\Omega }}_0}n}}\) और \({{\rm{\Omega }}_0} = \frac{\pi }{4}\)
3
\(\frac{1}{2}{e^{ - j{{\rm{\Omega }}_0}n}} + \frac{1}{2}{e^{ - j{{\rm{\Omega }}_0}n}}\) और \({{\rm{\Omega }}_0} = \frac{\pi }{6}\)
4
\(\frac{1}{2}{e^{j{{\rm{\Omega }}_0}n}} + \frac{1}{2}{e^{j7{{\rm{\Omega }}_0}n}}\) और \({{\rm{\Omega }}_0} = \frac{\pi }{4}\)