**HP Prime: Magnitude Bode Plot**

**How BODEPLOT Works**

The program
BODEPLOT for the HP Prime plots a handmade Bode Plot for any of the following
forms:

(I) H(s) = K *
(s/A + 1)/(s/B + 1)

(II) H(s) = K *
(s/A + 1)

(III) H(s) = K
* 1/(s/B + 1)

with K =
constant, -A = real root, -B = real pole

The input
screen:

For type (II),
enter 0 for B. For type (III), enter 0
for A. K must be nonzero, and it is
assumed that K is positive. The plot is
made of a composition of two or three basic plots.

One thing to
know: the program simulates semi-log
plot. The X axis represents values of
10^x. Hence, X = 0 represents 1, X = 1
represents 10, X = 2 represents 100, and so on.
Hence, each X represents a decade (instead of the customary unit).

**HP Prime Program BODEPLOT**

EXPORT BODEPLOT()

BEGIN

// Bode Magnitude Plot

// K*(s/A+1)/(s/B+1)

// 2017-04-05 EWS

INPUT({K,A,B},

"Mag.: K*(s/A+1)/(s/B+1)",

{"Const (K): ","Zero
(−A): ",

"Pole (−B): "},

{"Constant","Zero","Plot"});

F1:="20*LOG(K)";

F2:="PIECEWISE(X≤LOG(A),0,

X>LOG(A),20X-20LOG(A))";

F3:="PIECEWISE(X≤LOG(B),0,

X>LOG(B),−20X+20LOG(B))";

F4:="F1(X)+F2(X)+F3(X)";

// dark red color

F4(COLOR):=#800000h;

IF A==0 THEN

F2:="0";

END;

IF B==0 THEN

F3:="0";

END;

STARTAPP("Function");

CHECK(4);

UNCHECK(1);

UNCHECK(2);

UNCHECK(3);

// Autoscale

STARTVIEW(10,1);

END;

**Examples**

Example 1: K = 1.02,
A = 100, B = 250 (root = -100, pole =
-250)

Example 2: K = 1.02,
A = 100 (no pole, B = 0)

Example 3: K = 1.02,
B = 250 (no root, A = 0)

Since the plots are first generated in Autoscale, I executed
a Zoom Out (2 x 2) after program execution.

Sources:

“Bode Plot”
Wikipedia. Last edited February
7, 2017. https://en.wikipedia.org/wiki/Bode_plot Retrieved March 6, 2017

Cheever, Eric. “Bode
Plot: Examples” Swarthmore College. 2015.
Link: http://lpsa.swarthmore.edu/Bode/BodeExamples.html Retrieved March 6, 2017

This blog is
property of Edward Shore, 2017.

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