1.
Properties of Laplace Transform
The Laplace transform has a set of properties in parallel with that of the Fourier transform. The difference is that we need to pay special attention to the ...
2.
Fourier transform of typical signals
is also an impulse train with frequency interval $\omega_0=2\pi/T$ . Also, according to the definition of the Fourier transform, we have ...
3.
Fourier transform of typical signals
A square wave or rectangular function of width $a$ ... Gaussian function. The Fourier transform of a Gaussian or bell-shaped function $x(t)=e^{-\pi t^2} is ...
4.
Initial and Final Value Theorems
Initial value theorem: \begin{displaymath}x(0)=\lim_{s\rightarrow. Final value theorem: \begin{displaymath}x(\infty)=\lim_{s\. Proof: As $x(t)=x(t)u(t)=0 ...
5.
Emitter Follower
An emitter follower circuit shown in the figure is widely used in AC amplification circuits. The input and output of the emitter follower are the base and ...
6.
Op-Amp Circuits
The analysis of various op-amp circuits can be further simplified by the following .... First order systems - low-pass and high-pass filters. opamp4a.gif ...
7.
Floating-Point Representation
Can you answer the following questions regarding 32-bit IEEE 754 floating-point representation and explain why?: What is the largest magnitude (absolute ...
8.
Median Filter
Sep 13, 2004 ... The median filter is an effective method that can suppress ... Specifically, the median filter replaces a pixel by the median of all pixels ...
9.
Fixed-Point Representation
Fixed-Point Representation. Signed 2's complement. A fixed point number (an integer) $X$ can be represented by signed 2's complement, defined as: ...
10.
CMOS Digital Logic Circuits
is realized by two complementary circuits, one pull-up circuit connected to the voltage source $V_s$ , and a pull-down circuit connected to ground, ...