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32
Z
4)(p2)(p1)(p
2p
F(p)
2
+⋅−⋅+
+
=
;
[
22
1)(p
1
F(p)
+
=
;
\
9)(p
ep
F(p)
2
2p
+
⋅
=
−
.
Ihkljhblv b \u\_klb gZ i_qZlv Zfieblm^gh
-
nZah\u_ qZklhlgu_
oZjZdl_jbklbdb:NQO^eykbkl_fZ\lhfZlbq_kdh]hj_]mebjh\Zgbybf_xsbo
i_j_^Zlhqgu_nmgdpbbke_^mxs_]h\b^Z
Z
10p4pp
12045p
W(p)
23
−+
+
=
;
[
10p4pp
4015p
W(p)
23
−+
+
=
.
F_lh^bq_kdb_mdZaZgby
:
aZf_gyy
p
gZ
j
ωhli_j_^Zlhqghcnmgdpbb:S
i_j_oh^bf d :NQO
W(j
ω ]^_:Mω
)=U(
ω
)+jV(
ω
).
=h^h]jZn :NQO h[uqgh
kljhyl \ ijyfhm]hevguo dhhj^bgZlZo^89`Ijb ihkljh_gbb ]h^h]jZnZ
j_dhf_g^m_f baf_g_gby qZklhlu ω ijhba\h^blv \ ij_^_eZo ijb\h^ysbo d
baf_g_gbyf8\bgl_j\Ze_[0, -4], ZV - \bgl_j\Ze_[0, 10].
24. Ihkljhblv :NQO ^ey kbkl_fu Z\lhfZlbq_kdh]h j_]mebjh\Zgby
bf_xs_ci_j_^Zlhqgmxnmgdpbx
12p)(180p)(1
8
W(p)
+⋅+
= .
F_lh^bq_kdb_ mdZaZgby: ijb ihkljh_gbb ]h^h]jZnZ j_dhf_g^m_f aZ^Zlv
baf_g_gbyqZklhluω\ij_^_eZohl^h
1
k
−
.
GZclbi_j_^Zlhqgu_nmgdpbba\_gv_\kbkl_fuZ\lhfZlbq_kdh]hj_]m
ebjh\Zgby_kebba\_klgubo\_kh\u_nmgdpbb:
Z
()
tsin
k
k(t) Ω=
, k=const,
[k(t) = (k/T)exp(-t/T).
IhgZc^_ggufi_j_^Zlhqgufnmgdpbyfihkljhblv]h^h]jZn:NQO
26. IhaZ^Zggufi_j_oh^gufnmgdpbyfh(t) a\_gv_\kbkl_fuZ\lhfZlbq_
kdh]hj_]mebjh\ZgbygZclbboi_j_^Zlhqgu_nmgdpbb:
Z t/2),exp(1(t)15h(t) −⋅⋅= [ 1][exp(t/5)1(t)0,1h(t) −⋅⋅= .
Ihke_hlukdZgbyi_j_^ZlhqghcnmgdpbbW(p) i_j_c^bl_d:NQOW(jω) b
ihkljhcl_ Zfieblm^gh-qZklhlgu_ A(ω) b nZah-qZklhlgu_ ϕ(ω) oZjZdl_jbklbdb
^Zgguo^\moa\_gv_\ <u\_^bl_gZi_qZlvaZ\bkbfhklbA(ωbϕ(ω).
F_lh^bq_kdb_mdZaZgby: ba\_klghqlh\ebg_cguokbkl_fZoZfieblm^Zb
nZaZ\ugm`^_gguodhe_[ZgbcaZ\bkylhl\_ebqbguqZklhlu\g_rg_]h\ha^_ckl
\byωIhwlhfmfh^mevbZj]mf_gldhfie_dkghcnmgdpbbW(jω) y\eyxlkynmgd
pbyfbqZklhluω:
W(jω)= A(ω)exp[jϕ(ω)].
AZ^Zqbihl_hjbbmijZ\e_gby
Ijh]jZffZ©QZklhlgu_oZjZdl_jbklbdba\_gZ\lhjh]hihjy^dZª
32 p+2 Z F(p) = ; (p + 1) ⋅ (p − 2) ⋅ (p 2 + 4) [ F(p) = 1 2 ; (p + 1) 2 −2p \ F(p) = p ⋅ e . (p 2 + 9) Ihkljhblv b \u\_klb gZ i_qZlv Zfieblm^gh-nZah\u_ qZklhlgu_ oZjZdl_jbklbdb :NQO ^eykbkl_fZ\lhfZlbq_kdh]hj_]mebjh\Zgbybf_xsbo i_j_^Zlhqgu_nmgdpbbke_^mxs_]h\b^Z 45p + 120 15p + 40 Z W(p) = 3 ; [ W(p) = . p + 4p 2 − 10p p 3 + 4p 2 − 10p F_lh^bq_kdb_ mdZaZgby: aZf_gyyp gZjωhli_j_^Zlhqghcnmgdpbb: S i_j_oh^bf d :NQO W(jω ]^_ : Mω)=U(ω)+jV(ω). =h^h]jZn :NQO h[uqgh kljhyl \ ijyfhm]hevguo dhhj^bgZlZo ^8 9` Ijb ihkljh_gbb ]h^h]jZnZ j_dhf_g^m_f baf_g_gby qZklhlu ω ijhba\h^blv \ ij_^_eZo ijb\h^ysbo d baf_g_gbyf8\bgl_j\Ze_[0, -4], ZV - \bgl_j\Ze_[0, 10]. 24. Ihkljhblv :NQO ^ey kbkl_fu Z\lhfZlbq_kdh]h j_]mebjh\Zgby bf_xs_ci_j_^Zlhqgmxnmgdpbx 8 W(p) = . (1 + 80p) ⋅ (1 + 12p) F_lh^bq_kdb_ mdZaZgby: ijb ihkljh_gbb ]h^h]jZnZ j_dhf_g^m_f aZ^Zlv baf_g_gbyqZklhluω\ij_^_eZohl^h k −1 . GZclbi_j_^Zlhqgu_nmgdpbba\_gv_\kbkl_fuZ\lhfZlbq_kdh]hj_]m ebjh\Zgby_kebba\_klgubo\_kh\u_nmgdpbb: k Z k(t) = sin (Ωt ) , k=const, [ k(t) = (k/T)exp(-t/T). IhgZc^_ggufi_j_^Zlhqgufnmgdpbyfihkljhblv]h^h]jZn:NQO 26. IhaZ^Zggufi_j_oh^gufnmgdpbyfh(t) a\_gv_\kbkl_fuZ\lhfZlbq_ kdh]hj_]mebjh\ZgbygZclbboi_j_^Zlhqgu_nmgdpbb: Z h(t) = 15 ⋅1(t) ⋅ exp(− t/2), [ h(t) = 0,1⋅1(t) ⋅ [exp(t/5) − 1] . Ihke_hlukdZgbyi_j_^ZlhqghcnmgdpbbW(p) i_j_c^bl_d:NQOW(jω) b ihkljhcl_ Zfieblm^gh-qZklhlgu_ A(ω) b nZah-qZklhlgu_ ϕ(ω) oZjZdl_jbklbdb ^Zgguo^\moa\_gv_\
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