Last Updated: 8/11/26

Rosetta Stone Method

Introduction

Functions

Definitions

Linear function transformations (see also Graphical Math)

Equation procedure

Energy and power

Definition

Ex 1

Ex 2

Ex 3

Graphical math

Worksheet

Linear function transformations

Procedure

Ex 1

Ex 2

Derivative

Procedure

Quadratic

Ex 1

Integral

Procedure

Geometric shapes

Ex 1

Ex 2

Ex 3

Products of functions

Tangents

Sinusoid times line

Integral sinusoid times line

Impulse or delta function

Definition

Relation to step function

Sample function value

Time scaling

Impulse train or comb function

Definition

Fourier transform

Definition

Time scaling

Time scaling pairs

Convolution

Overview

Worksheet 3 col plain

Worksheet (.ai Adobe Illustrator™ file)

Definition

Identities

Math properties

Impulse or delta function

Convolution of impulses

Replication by impulses

Time shifts

Impulses

Functions

Ex 1

Rectangle _* exponential

Ex 1

Ex 2

Ex 3

Ex 4

Ex 5

Ex 6

Ex 7

Ex 8

Digital Signal Processing (DSP)

Overview

Worksheet

Template (.ai Adobe Illustrator™ file)

Fourier transform

Definition

Identities

Transform pairs p1

Transform pairs p2

Parseval's theorem

Ex 1

Ex 2

Ex 3

Ex 4

Ex 5

Ex 6

Discrete-Time Fourier Transform (DTFT)

Definition

Pairs

Identities

Spectra

Band-limited

M-shape

crown-shape

trapezoid shape

Aliasing

AM modulation/demodulation

Overview

Ex 1

Fourier series

Overview

Ex 1

Ex 2

Digital Signal Processing (DSP) (cont.)

Analog-to-digital (A/D) and D/A

Speech

/AH/

Fast Fourier Transform (FFT)

Laplace jω-axis vs DTFT unit circle