Identify the transform method or circuitanaysis technique th

Identify the transform method or circuit-anaysis technique that would be appropriate for each of the following:

a. Signal spectrum for a signal described by a set of time-domain sample points.

b. Continuous-time system analysis for a system without inputs but with initial conditions applicable to energy-storage elements.

c. Circuit analysis with all resistive components and with miltiple voltage and current sources where each source has a constant value.

Solution

Answer
a. Signal spectrum for a signal described by a set of time-domain sample points.- Fourier transform: Using Fourier transform we can plot amplitude and phase spectrum

b. Continuous-time system analysis for a system without inputs but with initial conditions applicable to energy-storage elements.: Use Laplase transform and apply intial conditions

c. Circuit analysis with all resistive components and with miltiple voltage and current sources where each source has a constant value: Kirchhoff\'s Voltage Law (KVL) or Kirchhoff\'s Current Law (KCL){Loop or Nodal analysis}- Using Loop or Nodal analysis we can make equations and can solve them.