# 0.3 [ mini-project ] "the whistler" virtual musical instrument

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An individual who can whistle with vibrato can be well-modeled by a sinusoidal oscillator, an attack-sustain-release envelope with a moderate attack and release time, and a low-frequency sinusoidal frequency modulation. In this mini-project you will develop code to model the whistler as a LabVIEW "virtual musical instrument" (VMI) to be "played" by a MIDI file.
 This module refers to LabVIEW, a software development environment that features a graphical programming language. Please see the LabVIEW QuickStart Guide module for tutorials and documentation that will help you: •Apply LabVIEW to Audio Signal Processing •Get started with LabVIEW •Obtain a fully-functional evaluation edition of LabVIEW

## Objective

An individual who can whistle with vibrato can be well-modeled by a sinusoidal oscillator, an attack-sustain-release envelope with a moderate attack and release time, and a low-frequency sinusoidal frequency modulation. In this mini-project you will develop code to model the whistler as a LabVIEW virtual musical instrument ( VMI ) to be "played" by a MIDI file.

## Prerequisite modules

If you have not done so already, please study the pre-requisite module Vibrato Effect . If you are relatively new to LabVIEW, consider taking the course LabVIEW Techniques for Audio Signal Processing which provides the foundation you need to complete this mini-project activity, including working with arrays, creating subVIs,playing an array to the soundcard, and saving an array as a .wav sound file.

## Deliverables

• All LabVIEW code that you develop (block diagrams and front panels)
• All generated sounds in .wav format
• Any plots or diagrams requested
• Summary write-up of your results

## Part 1: tone generator with vibrato

In this part you will create a basic tone generator with vibrato. The tone generator will be a sinusoid of the form $y\left(t\right)=\mathrm{sin}\left(\varphi \left(t\right)\right)$ , where the phase function $\varphi \left(t\right)$ has the following form ( ):

$\varphi \left(t\right)=2\pi {f}_{0}t+\Delta f\mathrm{sin}\left(2\pi {f}_{R}t\right)$

where ${f}_{0}$ is the tone frequency, $\Delta f$ is the frequency deviation (vibrato depth), and ${f}_{R}$ is the vibrato rate in Hz. Use the "Play Waveform" Express VI to listen to your end result $y\left(t\right)$ , and experiment with the parameters to find suitable values for rate and depth to simulate the sound of a whistler. Refer to the screencast video in the module Frequency Modulation (FM) Techniques in LabVIEW for coding tips for this part.

## Part 2: attack-sustain-release envelope generator

Create LabVIEW code to generate a time-varying intensity envelope for the overall attack, sustain, and decay of the note. Your code will require attack time and decay time (both in seconds), as well as the total number of required samples, and will produce an envelope composed of three straight-line segments as plotted in .

The maximum intensity is fixed at 0 dB, and the minimum intensity is -40 dB. The attack and release times are fixed parameters that you adjust, and the sustain time is "stretchable" depending on the total number of required samples. If you have the inclination, make your envelope generator more robust so that it can handle the situation where the requested number of samples is less than the number of samples required for your attack and release intervals.

## Part 3: attenuator

Create LabVIEW code that accepts an "amplitude" parameter in the range 0 to 1 and converts this parameter to attenuation in the range -40 dB to 0 dB. The amplitude parameter will ultimately be supplied by MIDI_JamSession and represents the MIDI "note-on" velocity. Your code will map linear velocity onto a logarithmic intensity.

## Part 4: overall amplitude envelope

Combine the code fragments you developed in Parts 2 and 3 to create an overall intensity envelope. Remember that when you use intensity values in decibels, you simply add them together. Next, "undo" the equation for decibels to convert the intensity envelope into an amplitude envelope (hint: you need a value of "20" someplace). Choose a representative set of parameter values and plot your overall intensity envelope and your overall amplitude envelope.

## Optional: modifications to basic whistler vmi

Following are some suggested modifications you could try for your basic whistler VMI:

• Make the vibrato rate proportional to the intensity envelope. This characteristic is common for vocalists and many types of instrumentalists.
• Make the vibrato depth proportional to the intensity envelope. This is another characteristic common for vocalists and many types of instrumentalists.
• Vary either the vibrato rate or depth (or possibly both) according to the "amplitude" parameter provided by the prototype VMI. For example, higher amplitudes could be mapped to a faster rate or more depth.
• Duplicate the tone generator two more times with frequencies of $2{f}_{0}$ and $3{f}_{0}$ and intensities of -10 dB and -20 dB, respectively, to create some overtones. Each of the tone generators should have the same vibrato rate and depth. The overtones make the whistler sound a bit more like a flute or a singing voice.

can someone help me with some logarithmic and exponential equations.
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
I don't understand what the A with approx sign and the boxed x mean
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
oops. ignore that.
so you not have an equal sign anywhere in the original equation?
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