Assignment Cover Sheet
SUBMISSION OF ASSIGNMENT: The logbooks must be submitted via Unilearn
In submitting this assignment, students should be aware of the following:
• Work is accepted for assessment on the basis that it may be retained by the University and may not be returned to you. You are therefore advised to keep copies of all your assignments for personal reference.
• The University’s Regulations for Awards: in the context of handing-in deadlines for assessed coursework, Regulation E1.6 states that if a student fails to submit assessed work by the agreed cut-off date (after allowing for any extension that may have been granted), the Pathway Assessment Board will record a mark of zero, leading to a failure in the module, unless it is satisfied there were good grounds for treating the student differently. Extenuating circumstances and procedures are set out in E1.6.
• The University’s regulations on plagiarism are contained in section 3 of the Students’ Handbook of Regulations. These give details of what constitutes plagiarism and the penalty for plagiarism.
The signature below confirms that you have read and understood the regulation concerning hand-in deadlines, penalties for late submission, plagiarism and extenuating circumstances procedures; and that the piece of work is your own, has not been previously submitted for assessment purposes, does not contain any unacknowledged work from other sources and does not exceed the stated word limit for the assignment by more than 10%.

This assignment will NOT be marked unless the following section is fully completed

Student Name: Pathway:
BEng Electronics Pathways

Signature:
Student Number:

Module Title Module Number Date Stamp:
DSP Applications NHE2404

Assignment Title
Parametric Equalizer

Date Submitted Date Due Word Count
10 February 2016

PERFORMANCE FEEDBACK (to be filled in by Lecturer when returned)
Learning Criteria Weight 30% Grade Overall Grade ……………
Logbook 50%
Tutor’s Signature:
Demonstration 50%
……………………………..
Summary Comments (continue overleaf as required):

NHE2404 DSP Applications Assignment
Parametric Equalizer
Weighting: 30%
Outcomes Being Assessed
(d), (e), (f).
Introduction
Bi-quad filters have two poles and two zeros arranged in the Z-plane as shown in figure 1.

Figure 1. Bi-quad Filter

These filters are widely used in the audio industry because they can either amplify or attenuate certain frequency components in a signal. If the Pole radius (R) is greater than the Zero radius (r) the filter will amplify components around the centre frequency and if r is greater than R then the filter will attenuate components around the centre frequency.
A practical application of the bi-quad filter is in parametric equalizers, where the filter behaviour is specified using the parameters: centre frequency, gain/attenuation and bandwidth (EQ or Q factor) – see figure 2.

Figure 2 Parametric Equalizer Controls
Commercial parametric equalizers commonly have a number of independent filters.

Tasks
1. Design bi-quad filters to meet the following specifications:

Centre Frequency Gain/Attenuation Q
Filter 1 500 Hz -10 dB 3.5
Filter 2 1000 Hz -10 dB 5
Filter 3 2000 Hz +10 dB 6
2. Simulate the filters independently and in combination with each other using a tool such as MATLAB in order to verify that they perform as specified.
3. Represent the filters you design in the following formats:
• Z-transfer function.
• Z-Plane diagram.
• Signal flow-graph.
• Magnitude response.
• Difference equation.

4. Develop a Flowcode program to implement your EQ digital filter(s) on the dsPIC development boards, and evaluate EQ real-time performance.
5. Record your assignment work in an logbook on Unilearn.
Your logbook should be presented in a standard format, e.g. Date/time, Objectives, Equipment, Procedure, Results, and Discussion.
Evidence of the simulation process (graphs, comment, etc.) should be included in your logbook.
Your logbook should include the DSP lab work for this assignment and will be marked with reference to the guidance notes provided at the beginning of the course.

Note: You may use the file WHITENOISE.WAV located on Unilearn as the test signal for your filters.
6. Demonstrate your work in the Laboratory.

Assignment Cover Sheet
SUBMISSION OF ASSIGNMENT: The logbooks must be submitted via Unilearn
In submitting this assignment, students should be aware of the following:
• Work is accepted for assessment on the basis that it may be retained by the University and may not be returned to you. You are therefore advised to keep copies of all your assignments for personal reference.
• The University’s Regulations for Awards: in the context of handing-in deadlines for assessed coursework, Regulation E1.6 states that if a student fails to submit assessed work by the agreed cut-off date (after allowing for any extension that may have been granted), the Pathway Assessment Board will record a mark of zero, leading to a failure in the module, unless it is satisfied there were good grounds for treating the student differently. Extenuating circumstances and procedures are set out in E1.6.
• The University’s regulations on plagiarism are contained in section 3 of the Students’ Handbook of Regulations. These give details of what constitutes plagiarism and the penalty for plagiarism.
The signature below confirms that you have read and understood the regulation concerning hand-in deadlines, penalties for late submission, plagiarism and extenuating circumstances procedures; and that the piece of work is your own, has not been previously submitted for assessment purposes, does not contain any unacknowledged work from other sources and does not exceed the stated word limit for the assignment by more than 10%.

This assignment will NOT be marked unless the following section is fully completed

Student Name: Pathway:
BEng Electronics Pathways

Signature:
Student Number:

Module Title Module Number Date Stamp:
DSP Applications NHE2404

Assignment Title
Parametric Equalizer

Date Submitted Date Due Word Count
10 February 2016

PERFORMANCE FEEDBACK (to be filled in by Lecturer when returned)
Learning Criteria Weight 30% Grade Overall Grade ……………
Logbook 50%
Tutor’s Signature:
Demonstration 50%
……………………………..
Summary Comments (continue overleaf as required):

NHE2404 DSP Applications Assignment
Parametric Equalizer
Weighting: 30%
Outcomes Being Assessed
(d), (e), (f).
Introduction
Bi-quad filters have two poles and two zeros arranged in the Z-plane as shown in figure 1.

Figure 1. Bi-quad Filter

These filters are widely used in the audio industry because they can either amplify or attenuate certain frequency components in a signal. If the Pole radius (R) is greater than the Zero radius (r) the filter will amplify components around the centre frequency and if r is greater than R then the filter will attenuate components around the centre frequency.
A practical application of the bi-quad filter is in parametric equalizers, where the filter behaviour is specified using the parameters: centre frequency, gain/attenuation and bandwidth (EQ or Q factor) – see figure 2.

Figure 2 Parametric Equalizer Controls
Commercial parametric equalizers commonly have a number of independent filters.

Tasks
1. Design bi-quad filters to meet the following specifications:

Centre Frequency Gain/Attenuation Q
Filter 1 500 Hz -10 dB 3.5
Filter 2 1000 Hz -10 dB 5
Filter 3 2000 Hz +10 dB 6
2. Simulate the filters independently and in combination with each other using a tool such as MATLAB in order to verify that they perform as specified.
3. Represent the filters you design in the following formats:
• Z-transfer function.
• Z-Plane diagram.
• Signal flow-graph.
• Magnitude response.
• Difference equation.

4. Develop a Flowcode program to implement your EQ digital filter(s) on the dsPIC development boards, and evaluate EQ real-time performance.
5. Record your assignment work in an logbook on Unilearn.
Your logbook should be presented in a standard format, e.g. Date/time, Objectives, Equipment, Procedure, Results, and Discussion.
Evidence of the simulation process (graphs, comment, etc.) should be included in your logbook.
Your logbook should include the DSP lab work for this assignment and will be marked with reference to the guidance notes provided at the beginning of the course.

Note: You may use the file WHITENOISE.WAV located on Unilearn as the test signal for your filters.
6. Demonstrate your work in the Laboratory.