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Electronics and Communication Analog Electronics Difficulty: Medium

For a function g(t), it is given that $$\int\limits_{ - \infty }^{ + \infty } {g\left( t \right){e^{ - j\omega t}}dt = \omega {e^{ - 2{\omega ^2}}}} $$ for any real value $$\omega $$ . If $$y\left( t \right) = \int\limits_{ - \infty }^t {g\left( \tau \right)} d\tau ,\,{\rm{then}}\,\int\limits_{ - \infty }^{ + \infty } {y\left( t \right)} dt$$ is. . . . . . . . If a noiseless channel bandlimited to 5 kHz is sampled every 1msec, what will be the value of sampling frequency? . . . . . . . . indicate not only whether a system is stable, but also its degree of stability and how stability may be improved if necessary. A signal having uniformly distributed amplitude in the interval (-V to + V), is to be encoded using PCM with uniform quantization. The signal to quantizing noise ratio is determined by the If G(f) represents the Fourier transform of a signal g(t) which is real and odd symmetric in time, then