DSP-1

$$\int_{-\infty}^{\infty}2t^3\delta\left(t-1\right)=$$

$$\int_2^52t^3\delta\left(t-1\right)=$$

Which of the following impulse response h(n) represents a stable LTI system

y(t) +3=x(t) is a linear system

$$y\left(n\right)=x\left(n\right)+\frac{1}{x\left(n-1\right)}$$

Check whether the DT system is linear or not?

$$y\left(n\right)=x^2\left(n\right)$$

Check the linearity and causality of the given DT system.

$$y\left(n\right)=x\left(n\right)+\frac{1}{x\left(n-1\right)}$$

Check whether the DT system is causal or not?

$$y\left(n\right)=x\left(n\right)+\frac{1}{x\left(n+1\right)}$$

Check whether the DT system is causal or not?

$$y\left(n\right)=x\left(n\right)+x\left(n-1\right)$$

Check whether the given system is Time Invariant or Variant?

$$y\left(n\right)=x\left(-n-1\right)$$

Check whether the given system is Time Invariant or Variant?