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Electronics and Communication Electronic Devices And Circuits Difficulty: Medium

The N-point DFT of a sequence x[n], 0 ≤ n ≤ N - 1 is given by $$X\left[ K \right] = \frac{1}{{\sqrt N }}\sum\limits_{n = 0}^{N - 1} {x\left[ n \right]} {e^{ - j\frac{{2\pi }}{N}nK}},0 \leqslant K \leqslant N - 1$$ Denote this relation as X = DFT(x). For N = 4, which one of the following sequences satisfies DFT (DFT (x)) = x. With the following equations, the time invariant systems are $$\eqalign{ & 1.\,\frac{{{d^2}y\left( t \right)}}{{d{t^2}}} + 2t\frac{d}{{dt}}y\left( t \right) + 5y\left( t \right) = x\left( t \right) \cr & 2.\,y\left( t \right) = {e^{ - 2x\left( t \right)}} \cr & 3.\,y\left( t \right) = \left[ {\frac{d}{{dt}}x\left( t \right)} \right] \cr & 4.\,y\left( t \right) = \frac{d}{{dt}}\left[ {{e^{ - 2t}}x\left( t \right)} \right] \cr} $$ How many transistors does RISC 1 possess? In the signal flow graph of figure, $$\frac{{\text{y}}}{{\text{x}}}$$ equals The circuit whose properties are same in either direction is known as