Signals And Systems Practice Questions

Generate GATE-level questions on Fourier Series. Focus on: 1. Trigonometric and Exponential Fourier series of periodic signals. 2. Properties of Fourier series: Linearity, Symmetry, and Parseval's theorem. 3. Response of LTI systems to periodic signals.

Generate GATE-level questions on Fourier Transform. Focus on: 1. Continuous-time Fourier Transform (CTFT) and its properties. 2. Magnitude and Phase spectra. 3. Applications in LTI systems and filter analysis.

Generate GATE-level questions on basic signals. Focus on: 1. Continuous-time (C.T) and Discrete-time (D.T) signals: Step, Ramp, Impulse, Exponential, and Sinusoidal. 2. Signal operations: Shifting, Scaling, and Inversion. 3. System properties: Linearity, Time-invariance, Causality, Stability, and Memory.

Generate GATE-level questions on Laplace Transform. Focus on: 1. Region of Convergence (ROC) and its properties. 2. Transform pairs and properties: Time-shifting, Differentiation, and Integration. 3. Solving differential equations and System function H(s).

Generate GATE-level questions on LTI systems. Focus on: 1. Convolution integral (C.T) and Convolution sum (D.T). 2. Impulse response and Step response. 3. Properties of LTI systems in terms of impulse response.

Generate GATE-level questions on Sampling Theorem. Focus on: 1. Nyquist sampling rate and Nyquist interval. 2. Aliasing effect and Anti-aliasing filters. 3. Reconstruction of signals from samples.

Generate GATE-level questions on Z-Transform. Focus on: 1. Region of Convergence (ROC) for discrete-time signals. 2. Properties of Z-Transform: Linearity, Shifting, and Convolution. 3. System function H(z), Stability, and Causality analysis.