Complete low pass report design part

report/0_intro/0_intro.pug

@@ -1,3 +1,4 @@
+div(style="page-break-before:always")
 // Chapter title
 h2 Εισαγωγή
 br/

report/1_low_pass/1_low_pass.pug

@@ -1,3 +1,4 @@
+div(style="page-break-before:always")
 // Chapter title
 h2 Κατωδιαβατό φίλτρο Inverse Chebyshev
 br/

report/1_low_pass/1_low_pass_design.pug

@@ -15,7 +15,9 @@ figure.block-center.width-15cm
 		div.item Έλεγχος των κερδών των μονάδων και ρύθμιση κέρδους με επιβολή απόσβεσης ή ενίσχυσης.
 
 h4 Υπολογισμός συνάρτησης μεταφοράς
-p Αρχικά σχεδιάζεται ένα πρότυπο κατωδιαβατό Chebyshev φίλτρο, το οποίο αργότερα να μετατραπεί στο επιθυμητό αντίστροφο Chebyshev.
+
+p.
+	Αρχικά σχεδιάζεται ένα πρότυπο κατωδιαβατό Chebyshev φίλτρο, το οποίο αργότερα να μετατραπεί στο επιθυμητό αντίστροφο Chebyshev.
 
 p Γίνεται κανονικοποίηση των συχνοτήτων ώστε να επιτευχθεί Ω#[sub s]=1 rad/s:
 
@@ -113,7 +115,7 @@ p.latex-equation.
 p.
 	Οι πόλοι και τα μηδενικά του φίλτρου φαίνονται στο παρακάτω διάγραμμα:
 
-figure.block-center.width-15cm
+figure.block-center.width-19cm
 	img(src="1_low_pass/assets/diagrams/inverse_chebyshev_zero_pole.svg").width-19cm
 	//- include assets/diagrams/inverse_chebyshev_zero_pole.svg
 	figcaption
@@ -121,8 +123,294 @@ figure.block-center.width-15cm
 		.caption.
 			Πόλοι και μηδενικά του αντίστροφου Chebyshev
 
+p.
+	Οι πόλοι και τα μηδενικά ομαδοποιούνται όπως φαίνεται στο παρακάτω διάγραμμα:
+
+figure.block-center
+	.ui.grid
+		.two.wide.column
+		.three.wide.column
+			.row
+				img(src="1_low_pass/assets/diagrams/inverse_chebyshev_unit_1_zero_pole_grouping.svg")/
+			.row.top-7mm
+				img(src="1_low_pass/assets/diagrams/low_pass_notch_unit_diagram.svg")/
+			.row.top-5mm
+				p.center #[strong Unit 1]
+		.six.wide.column
+		.three.wide.column
+			.row
+				img(src="1_low_pass/assets/diagrams/inverse_chebyshev_unit_2_zero_pole_grouping.svg")/
+			.row.top-7mm
+				img(src="1_low_pass/assets/diagrams/low_pass_notch_unit_diagram.svg")/
+			.row.top-5mm
+				p.center #[strong Unit 2]
+		.two.wide.column
+	//- include assets/diagrams/inverse_chebyshev_zero_pole.svg
+	figcaption
+		.reference #[span.plot-count]
+		.caption.
+			Ομαδοποίηση πόλων-μηδενικών
+
 h4 Υλοποίηση συνάρτησης μεταφοράς
+
+p.
+	Από τον αριθμό ΑΕΜ (8261) υποδειηκύεται η χρήση των κυκλωμάτων low pass notch του κεφαλαίου 7, με χρήση του κυκλώματος του σχήματος 7.23.
+
+h5 Μονάδα 1
+
+p Η πρώτη μονάδα low pass notch πρέπει να υλοποιεί:
+
+figure.block-center.width-15cm
+	table.ui.celled.table.teal.striped.center.aligned
+		thead
+			tr
+				th Προδιαγραφή
+				th Τιμή
+		tbody
+			tr
+				td ω#[sub 0]
+				td 0.963
+			tr
+				td ω#[sub Z]
+				td 1.0824
+			tr
+				td ω#[sub Z]>ω#[sub 0]
+				td #[i.large.teal.checkmark.icon]
+			tr
+				td Q
+				td 0.5822
+	figcaption
+		.reference #[span.table-count]
+		.caption.
+			Προδιαγραφές πρώτης μονάδας low pass notch
+
+p.
+	Γίνεται κανονικοποίηση των συχνοτήτων ως προς το ω#[sub 0], ώστε Ω#[sub 0]=1:
+
+p.latex-equation.
+	$$\Omega_Z = \frac{\omega_Z}{\omega_0} = \frac{1.0824}{0.963} = 1.1239>1$$
+
+p.
+	Υπολογίζονται τα στοιχεία του κυκλώματος του φίλτρου, με χρήση της μεθοδολογίας που περιγράφεται στο κεφάλαιο 7.6-B (σελίδα 35) και των εξισώσεων #[span.course-notes-equation 7-150], #[span.course-notes-equation 7-152], #[span.course-notes-equation 7-155]:
+
+p.latex-equation.
+	$$C = \frac{1}{2Q} = \frac{1}{2*0.5822} = 0.8588\text{ F}$$
+
+p.latex-equation.
+	$$R_2 = 4Q^2 = 4*0.5822^2 = 1.355\text{ Ohm}$$
+
+p.latex-equation.
+	$$R_5 = \frac{4Q^2}{\Omega_Z^2-1} = \frac{4*0.5822^2}{1.1239^2-1} = 5.151\text{ Ohm}$$
+
+p.latex-equation.
+	$$R_3 = \frac{\Omega_Z^2}{2Q^2} = \frac{1.1239^2}{2*0.5822^2} = 1.8635\text{ Ohm}$$
+
+p.latex-equation.
+	$$R_1 = R_4 = 1\text{ Ohm}$$
+
+p.
+	Υπολογίζεται το κέρδος της μονάδας στις υψηλές συχνότητες, χρησιμοποιώντας την εξίσωση #[span.course-notes-equation 7-143]:
+
+p.latex-equation.
+	$$k_{high} = \frac{R_4}{R_3+R_4} = \frac{1}{1.8635+1} = 0.3492$$
+
+p.
+	Υπολογίζεται το κέρδος της μονάδας στις χαμηλές συχνότητες, χρησιμοποιώντας τις εξισώσεις #[span.course-notes-equation 7-146], #[span.course-notes-equation 7-147] και #[span.course-notes-equation 7-148], θέτοντας s=0:
+
+p.latex-equation.
+	$$k_{low} = k_{high}\Omega_Z^2 = 0.3492*1.1239^2 = 0.4411$$
+
+p #[strong Κλιμακοποίηση]
+
 p.
+	Γίνεται κλιμακωποίηση των στοιχείων της μονάδας για να μεταφερθούν οι συχνότητες στις πραγματικές τιμές. Επιλέγεται:
+
+p.latex-equation.
+	$$k_{f} = \omega_s\omega_0 = 72570.79*0.963 = 69885.7$$
+
+p.
+	Με βάση τον αριθμό ΑΕΜ (8261) επιλέγεται κατάλληλος συντελεστής κλιμακοποίησης πλάτους ώστε να επιτευχθεί τιμή πυκνωτών ίση με 0.1μF, γίνεται χρήση του τύπου #[span.course-notes-equation 6-33]:
+
+p.latex-equation.
+	$$k_{m} = \frac{C_{old}}{k_fC_{new}} = \frac{0.8588}{69885.7*0.1*10^{-6}} = 122.88$$
+
+p Οι τελικές τιμές των στοιχείων φαίνονται στον παρακάτω πίνακα:
+
+figure.block-center.width-15cm
+	table.ui.celled.table.teal.striped.center.aligned
+		thead
+			tr
+				th Στοιχείο/Κέρδος
+				th(colspan="2") Τιμή
+		tbody
+			tr
+				td C
+				td(colspan="2") 0,1 μF
+			tr
+				td R#[sub 1]
+				td(colspan="2") 122,88 Ohm
+			tr
+				td R#[sub 2]
+				td(colspan="2") 166,59 Ohm
+			tr
+				td R#[sub 3]
+				td(colspan="2") 229 Ohm
+			tr
+				td R#[sub 4]
+				td(colspan="2") 122,88 Ohm
+			tr
+				td R#[sub 5]
+				td(colspan="2") 633 Ohm
+			tr
+				td Κέρδος στις υψηλές συχνότητες
+				td 0,3492
+				td -9.14 dB
+			tr
+				td Κέρδος στις χαμηλές συχνότητες
+				td 0,4411
+				td -7.1 dB
+	figcaption
+		.reference #[span.table-count]
+		.caption.
+			Τιμές των στοιχείων της πρώτης μονάδας και κέρδη στις υψηλές και χαμηλές συχνότητες
+
+h5 Μονάδα 2
+
+p Η δεύτερη μονάδα low pass notch πρέπει να υλοποιεί:
+
+figure.block-center.width-15cm
+	table.ui.celled.table.teal.striped.center.aligned
+		thead
+			tr
+				th Προδιαγραφή
+				th Τιμή
+		tbody
+			tr
+				td ω#[sub 0]
+				td 0.7484
+			tr
+				td ω#[sub Z]
+				td 2.6131
+			tr
+				td ω#[sub Z]>ω#[sub 0]
+				td #[i.large.teal.checkmark.icon]
+			tr
+				td Q
+				td 1.8086
+	figcaption
+		.reference #[span.table-count]
+		.caption.
+			Προδιαγραφές δεύτερης μονάδας low pass notch
+
+p.
+	Γίνεται κανονικοποίηση των συχνοτήτων ως προς το ω#[sub 0], ώστε Ω#[sub 0]=1:
+
+p.latex-equation.
+	$$\Omega_Z = \frac{\omega_Z}{\omega_0} = \frac{2.6131}{0.7484} = 3.4915>1$$
+
+p.
+	Υπολογίζονται τα στοιχεία του κυκλώματος του φίλτρου, με χρήση της μεθοδολογίας που περιγράφεται στο κεφάλαιο 7.6-B (σελίδα 35) και των εξισώσεων #[span.course-notes-equation 7-150], #[span.course-notes-equation 7-152], #[span.course-notes-equation 7-155]:
+
+p.latex-equation.
+	$$C = \frac{1}{2Q} = \frac{1}{2*1.8086} = 0.2765\text{ F}$$
+
+p.latex-equation.
+	$$R_2 = 4Q^2 = 4*1.8086^2 = 13.0838\text{ Ohm}$$
+
+p.latex-equation.
+	$$R_5 = \frac{4Q^2}{\Omega_Z^2-1} = \frac{4*1.8086^2}{3.4915^2-1} = 1.1692\text{ Ohm}$$
+
+p.latex-equation.
+	$$R_3 = \frac{\Omega_Z^2}{2Q^2} = \frac{3.4915^2}{2*1.8086^2} = 1.8635\text{ Ohm}$$
+
+p.latex-equation.
+	$$R_1 = R_4 = 1\text{ Ohm}$$
+
+p.
+	Υπολογίζεται το κέρδος της μονάδας στις υψηλές συχνότητες, χρησιμοποιώντας την εξίσωση #[span.course-notes-equation 7-143]:
+
+p.latex-equation.
+	$$k_{high} = \frac{R_4}{R_3+R_4} = \frac{1}{1.8635+1} = 0.3492$$
+
+p.
+	Υπολογίζεται το κέρδος της μονάδας στις χαμηλές συχνότητες, χρησιμοποιώντας τις εξισώσεις #[span.course-notes-equation 7-146], #[span.course-notes-equation 7-147] και #[span.course-notes-equation 7-148], θέτοντας s=0:
+
+p.latex-equation.
+	$$k_{low} = k_{high}\Omega_Z^2 = 0.3492*3.4915^2 = 4.2573$$
+
+p #[strong Κλιμακοποίηση]
+
+p.
+	Γίνεται κλιμακωποίηση των στοιχείων της μονάδας για να μεταφερθούν οι συχνότητες στις πραγματικές τιμές. Επιλέγεται:
+
+p.latex-equation.
+	$$k_{f} = \omega_s\omega_0 = 72570.79*0.7484 = 54311.9$$
+
+p.
+	Με βάση τον αριθμό ΑΕΜ (8261) επιλέγεται κατάλληλος συντελεστής κλιμακοποίησης πλάτους ώστε να επιτευχθεί τιμή πυκνωτών ίση με 0.1μF, γίνεται χρήση του τύπου #[span.course-notes-equation 6-33]:
+
+p.latex-equation.
+	$$k_{m} = \frac{C_{old}}{k_fC_{new}} = \frac{0.2765}{54311.9*0.1*10^{-6}} = 50.9$$
+
+p Οι τελικές τιμές των στοιχείων φαίνονται στον παρακάτω πίνακα:
+
+figure.block-center.width-15cm
+	table.ui.celled.table.teal.striped.center.aligned
+		thead
+			tr
+				th Στοιχείο/Κέρδος
+				th(colspan="2") Τιμή
+		tbody
+			tr
+				td C
+				td(colspan="2") 0,1 μF
+			tr
+				td R#[sub 1]
+				td(colspan="2") 50,9 Ohm
+			tr
+				td R#[sub 2]
+				td(colspan="2") 665,9 Ohm
+			tr
+				td R#[sub 3]
+				td(colspan="2") 94,8 Ohm
+			tr
+				td R#[sub 4]
+				td(colspan="2") 50,9 Ohm
+			tr
+				td R#[sub 5]
+				td(colspan="2") 59,5 Ohm
+			tr
+				td Κέρδος στις υψηλές συχνότητες
+				td 0,3492
+				td -9.14 dB
+			tr
+				td Κέρδος στις χαμηλές συχνότητες
+				td 4,2573
+				td 12.6 dB
+	figcaption
+		.reference #[span.table-count]
+		.caption.
+			Τιμές των στοιχείων της πρώτης μονάδας και κέρδη στις υψηλές και χαμηλές συχνότητες
 
 h4 Ρύθμιση κέρδους
+
+p.
+	Με βάση τον αριθμό ΑΕΜ (8261) πραγματοποιείται ρύθμιση κέρδους με στόχο την επίτευξη κέρδους 0 dB στις χαμηλές συχνότητες.
+
+p.
+	Κατά την υλοποίηση των μονάδων Fried διαπιστώθηκε ότι κάθε μονάδα εισάγει μία απόσβεση. Κάτι το οποίο ήταν αναμενόμενο με βάση τη θεωρεία των μονάδω αυτών. Το συνολικό κέρδος που εισάγουν οι μονάδες είναι:
+
+p.latex-equation.
+	$$k = k_{low}^1k_{low}^2 = 0.4411*4.2573 = 1.878$$
+
 p.
+	Για τη ρύθμιση του κέρδους χρησιμοποιείται μία αναστρέφουσα συνδεσμολογία με κέρδος:
+
+p.latex-equation.
+	$${k}' = \frac{1}{k} = \frac{1}{1.878} = 0.5324$$
+
+p.
+	Επιλέγεται η χρήση αντίστασης εισόδου ίσης με r#[sub 1]=10 kOhm. Έτσι η αντίσταση ανατροφοδότησης υπολογίζεται:
+
+p.latex-equation.
+	$$r_2 = r_1{k}' = 10*10^3*0.5324 = 5324\text{ Ohm}$$

report/1_low_pass/assets/diagrams/inverse_chebyshev_unit_1_zero_pole_grouping.svg

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report/1_low_pass/assets/diagrams/low_pass_notch_unit_diagram.svg

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+<?xml version="1.0" encoding="utf-8"?>
+<!-- Generator: Adobe Illustrator 19.0.0, SVG Export Plug-In . SVG Version: 6.00 Build 0)  -->
+<svg version="1.1" id="Layer_1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" x="0px" y="0px"
+	 viewBox="-303.5 267.3 200 61" style="enable-background:new -303.5 267.3 200 61;" xml:space="preserve">
+<style type="text/css">
+	.st0{fill:none;stroke:#000000;}
+	.st1{font-family:'ArialMT';}
+	.st2{font-size:12px;}
+	.st3{fill:none;stroke:#4D4D4D;stroke-width:2;stroke-miterlimit:10;}
+	.st4{fill:#4D4D4D;stroke:#4D4D4D;stroke-width:2;stroke-miterlimit:10;}
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+<g transform="translate(0.5,0.5)">
+	<path pointer-events="none" class="st0" d="M-255,267.3h102c5,0,9,4,9,9v42c0,5-4,9-9,9h-102c-5,0-9-4-9-9v-42
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+	<g transform="translate(95.5,21.5)">
+		<text transform="matrix(1 0 0 1 -311.6719 279.28)" class="st1 st2">LPN</text>
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report/report.pug

@@ -115,6 +115,9 @@ div(style="page-break-before:always")
   faster to render big documents (not entirely sure though <i class="em
   em-thinking_face"></i>).
 
+template#page-header
+  span \
+
 template#page-footer
   style(type='text/css').
     .pdfheader {