(25) Frequency-Response Calculations w ⁄

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An excerpt from Frequency-Response Calculations with a programmable calculator, E. E. Mitchell, U.S. Naval Academy, 1977/07, 4 pages.

ABSTRACT
This paper describes an algorithm with which the
user can compute frequency responses on a small pro-
grammable calculator. Inexpensive calculators like
the Hewlett-Packard 25 allow such calculations for a
system containing as many as four poles and zeros.
The user must enter the proper sequence for a pole
or zero, but the process is simple; the user does not
have to depend on (and wait for) a large computer.
The paper presents the solution of a typical problem.
…
INTRODUCTION
The frequency response of a linear system is the
steady-state response of the system to a sinusoidal
input …
…
Frequency-response techniques may be used to experi-
mentally determine the transfer function of an un-
known system …
…
Numerical techniques exist that are simple, easy to
program, don’t require a large computer, and will
quickly calculate the frequency response of large
(tenth-order) systems …
…
For frequency response calculations, the use of a
programmable calculator can provide higher accuracy
than straight-line approximations …
…
Because of the limitations on program steps and
memory storage, programs for small calculators tend
to be very specific …
…
This paper describes a program written for a program-
mable pocket calculator that computes the frequency
response of linear systems …
…
DESCRIPTION OF THE CALCULATOR
The following operations are those utilized by the
inexpensive HP25 (Hewlett Packard) programmable
pocket calculator. These functions are common in the HP
scientific calculator series and should be understandable
to the users of other programmable calculators. …
…
…
CONCLUSIONS
The sequence of steps will work on any calculator,
even the nonprogrammable types, such as the HP35 and
HP45. The maximum problem size depends on the maxi-
mum number of storage locations and program steps.
The example just shown had a total of four poles and
zeros. This is the maximum size for a problem on
the HP25, the limitation being the availability of
only eight memory locations.
The program is surprisingly easy to use; …
…

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