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1 (ns rlm.thermal-noise
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2 (:refer-clojure :only [])
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3 (:require rlm.ns-rlm mobius.base))
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4 (rlm.ns-rlm/ns-clone mobius.base)
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5
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6 (defrecord imaginary [real complex])
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7
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8 (defmethod + [imaginary Number] [i r]
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9 (imaginary. (+ (:real i) r) (:complex i)))
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10 (defmethod + [Number imaginary] [r i]
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11 (+ i r))
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12 (defmethod + [imaginary imaginary] [i1 i2]
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13 (imaginary. (+ (:real i1) (:real i2))
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14 (+ (:complex i1) (:complex i2))))
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15
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16
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17 (defmethod * [imaginary Number] [i r]
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18 (imaginary. (* r (:real i)) (* r (:complex i))))
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19 (defmethod * [Number imaginary] [r i]
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20 (* i r))
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21 (defmethod * [imaginary imaginary] [i1 i2]
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22 (let [[a1 b1] [(:real i1) (:complex i1)]
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23 [a2 b2] [(:real i2) (:complex i2)]]
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24 (imaginary. (- (* a1 a2) (* b1 b2))
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25 (+ (* a1 b2) (* a2 b1)))))
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26
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27 (defmethod / imaginary [i]
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28
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29 (cond (and (not= (:real i) 0) (not= (:complex i) 0))
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30 (let [[a b] [(:real i) (:complex i)]
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31 d (- (/ (/ a) (+ (/ a b) (/ b a))))
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32 c (/ (+ 1 (* b d)) a)]
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33 (imaginary. c d))
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34 (= (:real i) 0)
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35 (imaginary. 0 (- (/ (:complex i))))
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36 (= (:complex i) 0)
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37 (imaginary. (/ (:real i)) 0)))
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38
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39
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40 (defmethod / [imaginary imaginary] [i1 i2]
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41 (* i1 (/ i2)))
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42
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43 (defmethod / [imaginary Number] [i r]
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44 (* i (/ r)))
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45
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46 (defmethod / [Number imaginary] [r i]
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47 (* r (/ i)))
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48
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49 (defmulti norm class)
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50 (defmethod norm Number [r] r)
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51 (defmethod norm imaginary [i]
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52 (sqrt (+ (sq (:real i) ) (sq (:complex i)))))
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53
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54
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55
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56
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57 (def i (imaginary. 0 1))
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58
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59 (defn h** [w_0 v_0 y w]
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60 (/ v_0 (+ (- (sq w)) (* 2 y i w) (sq w_0))))
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61
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62 (def f_0 10e3)
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63 (def w_0 (* f_0 2 Math/PI))
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64 (def v_0 0.01)
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65 (def h* (partial h** w_0 v_0))
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66
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67
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68 (def x (range 1 1e7 100))
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69
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70 (def y-range [0.1 0.5 1 2 5 10 100 1000])
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71
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72
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73 (defn graphs []
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74 (let [plot (xy-plot)]
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75 (dorun
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76 (for [ y y-range]
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77 (let [result (vec (map (partial (comp norm h*) y) x))]
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78 (add-lines plot (vec (map log10 x)) (vec (map log10 result))))))
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79 (set-x-label plot "log frequency")
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80 (set-y-label plot "log h*")))
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81
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82 (def rrr (imaginary. 1 1))
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83
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84
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