[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$f2qX_NAvP0_n9EadFVtcf-8pdjb7fUWMAgYUU7rohwcE":3},{"answer":4,"createTime":5,"id":6,"options":7,"origin":13,"question":20,"related":21,"source":31,"type":85},[],"2025-11-04 12:25:03",228597693,[8,9,10,11,12],"f₁(t) * f₂(t) ↔ F₁(jω)・F₂(jω)(时域卷积→频域乘积)","f₁(t)・f₂(t) ↔ (1\u002F(2π)) F₁(jω) * F₂(jω)(时域乘积→频域卷积)","f₁(t) + f₂(t) ↔ F₁(jω) + F₂(jω)","f₁(t - t₀) ↔ F₁(jω)","",{"count":14,"courseId":15,"courseImg":16,"courseName":17,"workId":18,"workName":19},30,"15f602df041524d27ffff01f4a79c518","https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fce1f82062b00fd8327c4452f991e3203.jpg","信号与系统","work_47682534","基础知识1.12 傅立叶变换的性质","题干:若 f₁(t) ↔ F₁(jω),f₂(t) ↔ F₂(jω),则傅里叶变换的卷积定理包括( )",[22,33,41,50,59,68,76,86,89,98],{"answer":23,"createTime":5,"id":24,"options":25,"question":30,"source":31,"type":32},[],228597686,[26,27,28,29],"a f₁(t) + b f₂(t) ↔ a F₁(ω) + b F₂(ω)(a、b 为常数)","f₁(t) + f₂(t) ↔ F₁(ω)・F₂(ω)","a f₁(t) ↔ (1\u002Fa) F₁(ω\u002Fa)(a≠0)","f₁(t)・f₂(t) ↔ F₁(ω) + F₂(ω)","题干:若 f₁(t) ↔ F₁(ω),f₂(t) ↔ F₂(ω),则傅里叶变换的线性性质可表示为( )","v1",0,{"answer":34,"createTime":5,"id":35,"options":36,"question":40,"source":31,"type":32},[],228597687,[37,38,38,39],"a F (jωa)","F (jω\u002Fa)","F (jωa)","题干:若 f (t) ↔ F (jω),且 a 为非零常数,则 f (at) 的傅里叶变换为( )",{"answer":42,"createTime":5,"id":43,"options":44,"question":49,"source":31,"type":32},[],228597688,[45,46,47,48],"jω F (jω)","F (jω)\u002F(jω)","jω F (jω) + π f (0)δ(ω)","F (jω) - jω ∫(-∞到 +∞)f (t) dt","题干:傅里叶变换的微分性质中,若 f (t) ↔ F (jω),则 d [f (t)]\u002Fdt 的傅里叶变换为( )",{"answer":51,"createTime":5,"id":52,"options":53,"question":58,"source":31,"type":32},[],228597689,[54,55,56,57],"非周期信号的频谱分析","线性时不变系统的频率响应分析","离散信号的 Z 域分析","信号的滤波与去噪","题干:下列应用中,不属于傅里叶变换应用场景的是( )",{"answer":60,"createTime":5,"id":61,"options":62,"question":67,"source":31,"type":32},[],228597690,[63,64,65,66],"H (jω) 是 h (t) 的拉普拉斯变换","H (jω) 是 h (t) 的傅里叶变换","h (t) 是 H (jω) 的傅里叶变换","H (jω) = h (t) * f (t)(卷积)","题干:利用傅里叶变换分析 LTI 系统时,系统的频率响应 H (jω) 与冲激响应 h (t) 的关系是( )",{"answer":69,"createTime":5,"id":70,"options":71,"question":75,"source":31,"type":32},[],228597691,[72,73,74,12],"δ(ω)","1","jω","题干:若 f (t) = δ(t)(单位冲激信号),则其傅里叶变换 F (jω) 为( )",{"answer":77,"createTime":5,"id":78,"options":79,"question":84,"source":31,"type":85},[],228597692,[80,81,82,83],"线性性质","时移性质和频移性质","尺度变换性质","微分性质和积分性质","题干:傅里叶变换的基本性质包括( )",1,{"answer":87,"createTime":5,"id":6,"options":88,"question":20,"source":31,"type":85},[],[8,9,10,11,12],{"answer":90,"createTime":5,"id":91,"options":92,"question":97,"source":31,"type":85},[],228597694,[93,94,95,96],"幅值频谱:|F (j (-ω))| = |F (jω)|(偶函数)","相位频谱:∠F (j (-ω)) = -∠F (jω)(奇函数)","实部:Re [F (j (-ω))] = Re [F (jω)](偶函数)","虚部:Im [F (j (-ω))] = -Im [F (jω)](奇函数)","题干:实信号 f (t) 的傅里叶变换 F (jω) 具有的对称性包括( )",{"answer":99,"createTime":5,"id":100,"options":101,"question":106,"source":31,"type":85},[],228597695,[102,103,104,105],"f (t) 在整个时域内绝对可积:∫(-∞到 +∞)|f (t)|dt < ∞","f (t) 在时域内连续或仅有有限个第一类间断点","f (t) 在时域内的极值点个数有限","f (t) 为周期信号","题干:傅里叶变换存在的充分条件(狄里赫利条件的推广)包括( )"]