# Ferranti Effect

A long transmission line draws a substantial quantity of charging current. If such a line is open circuited or very lightly loaded at the receiving end, the voltage at the receiving end may become higher than the voltage at the sending end. This is known as Ferranti effect. $latex \Rightarrow &s=2 &bg=ffffff$  Ferranti effect will occur … Continue reading Ferranti Effect

# Memoryless LTI System

Consider an LTI system $latex \displaystyle x(t) \rightarrow &s=2 &bg=ffffff$  input to the system $latex \displaystyle h(t) \rightarrow &s=2 &bg=ffffff$  impulse response of the system $latex \displaystyle y(t) \rightarrow &s=2 &bg=ffffff$  output to the system $latex \displaystyle y(t) = \int_{-\infty}^{\infty} x(\tau) h(t - \tau) d\tau &s=3 &bg=ffffff$ $latex \Rightarrow &s=2 &bg=ffffff$ For an LTI system to be memory-less its … Continue reading Memoryless LTI System

# Basics of Convolution

Representation of   $latex x(t) &s=2 &bg=ffffff$ in terms of Impulses Property 1 We know the property of impulse that area of the impulse function is equal to one. $latex \displaystyle \int_{-\infty}^{\infty} \delta(t) dt = 1 &s=3 &bg=ffffff$ Property 2 $latex \delta(t) &s=2 &bg=ffffff$   is defined only at $latex t = 0 &s=2 &bg=ffffff$ \$latex \displaystyle x(t) \delta(t) = … Continue reading Basics of Convolution